Density and pressure — Paper 1 · A Level Physics 9702

20 The diagram shows two liquids, labelled P and Q, which do not mix. The liquids are in equilibrium in an open U-tube. P x x Q x density of P What is the ratio density of Q ? 1 2 3 A B C D 2 2 3 2

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2004

18 Liquids X and Y are stored in large open tanks. Liquids X and Y have densities of 800 kg m–3 and 1200 kg m–3 respectively. At what depths are the pressures equal? depth in liquid X depth in liquid Y A 8 m 12 m B 10 m 10 m C 15 m 10 m D 18 m 8 m

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2005

13 Which force is caused by a pressure difference? A friction B upthrust C viscous force D weight

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2006

19 Which statement defines the density of a substance? A the force per unit area acting on the substance B the increase in length per unit length of the substance C the mass per unit volume of the substance D the work done per unit time by the substance

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2006

21 A bore hole of depth 2000 m contains both oil and water as shown. The pressure at the bottom is 17.5 MPa. The density of the oil is 830 kg m–3 and the density of the water is 1000 kg m–3. oil x 2000 m water What is the depth x of the oil? A 907 m B 1000 m C 1090 m D 1270 m

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2006

15 The density of mercury is 13.6 × 103 kg m–3. The pressure difference between the bottom and the top of a column of mercury is 100 kPa. What is the height of the column? A 0.75 m B 1.3 m C 7.4 m D 72 m

1 marks

Answer: A

This question in 9702/11 May/June 2007

15 A submarine is in equilibrium in a fully submerged position. sea steel water air What causes the upthrust on the submarine? A The air in the submarine is less dense than sea water. B The sea water exerts a greater upward force on the submarine than the weight of the steel. C The submarine displaces its own volume of sea water. D There is a difference in water pressure acting on the top and bottom of the submarine.

1 marks

Answer: D

This question in 9702/11 May/June 2008

21 The formula for hydrostatic pressure is p = ρ gh. Which equation, or principle of physics, is used in the derivation of this formula? A density = mass ÷ volume B potential energy = mgh C atmospheric pressure decreases with height D density increases with depth

1 marks

Answer: A

This question in 9702/11 May/June 2008

11 The diagram represents a sphere under water. P, Q, R, and S are forces acting on the sphere, due to the pressure of the water. water surface P S Q R Each force acts perpendicularly to the sphere’s surface. P and R act in opposite directions vertically. Q and S act in opposite directions horizontally. Which information about the magnitudes of the forces is correct? A P < R ; S = Q B P > R ; S = Q C P = R ; S = Q D P = R = S = Q Space for working

1 marks

Answer: A

This question in 9702/11 May/June 2009

18 The diagram shows a flask connected to a U-tube containing liquid. The flask contains air at atmospheric pressure. air liquid heat The flask is now gently heated and the liquid level in the right-hand side of the U-tube rises through a distance h. The density of the liquid is ρ. What is the increase in pressure of the heated air in the flask? A hρ B 1 hρg C hρg D 2hρg 2

1 marks

Answer: D

This question in 9702/11 May/June 2009

19 A rectangular metal bar exerts a pressure of 15 200 Pa on the horizontal surface on which it rests. If the height of the metal bar is 80 cm, what is the density of the metal? A 190 kg m–3 B 1900 kg m–3 C 19 000 kg m–3 D 190 000 kg m–3

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2009

18 A rectangular metal bar exerts a pressure of 15 200 Pa on the horizontal surface on which it rests. If the height of the metal bar is 80 cm, what is the density of the metal? A 190 kg m–3 B 1900 kg m–3 C 19 000 kg m–3 D 190 000 kg m–3

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2009

6 A student finds the density of a liquid by measuring its mass and its volume. The following is a summary of his measurements. mass of empty beaker = (20 ± 1) g mass of beaker + liquid = (70 ± 1) g volume of liquid = (10.0 ± 0.6) cm3 He correctly calculates the density of the liquid as 5.0 g cm–3. What is the uncertainty in this value? A 0.3 g cm–3 B 0.5 g cm–3 C 0.6 g cm–3 D 2.6 g cm–3

1 marks

Answer: B

This question in 9702/11 May/June 2010

14 An object, immersed in a liquid in a tank, experiences an upthrust. What is the physical reason for this upthrust? A The density of the body differs from that of the liquid. B The density of the liquid increases with depth. C The pressure in the liquid increases with depth. D The value of g in the liquid increases with depth.

1 marks

Answer: C

This question in 9702/11 May/June 2010

17 Atmospheric pressure at sea level has a value of 100 kPa. The density of sea water is 1020 kg m–3. At what depth in the sea would the total pressure be 110 kPa? A 1.0 m B 9.8 m C 10 m D 11 m Space for working

1 marks

Answer: A

This question in 9702/11 May/June 2010

18 When ice melts, it contracts. Which row is correct for ice turning into water? distance between density atoms A decreases decreases B decreases increases C increases decreases D increases increases

1 marks

Answer: B

This question in 9702/11 May/June 2010

4 A student finds the density of a liquid by measuring its mass and its volume. The following is a summary of his measurements. mass of empty beaker = (20 ± 1) g mass of beaker + liquid = (70 ± 1) g volume of liquid = (10.0 ± 0.6) cm3 He correctly calculates the density of the liquid as 5.0 g cm–3. What is the uncertainty in this value? A 0.3 g cm–3 B 0.5 g cm–3 C 0.6 g cm–3 D 2.6 g cm–3 Space for working

1 marks

Answer: B

This question in 9702/13 May/June 2010

10 An object, immersed in a liquid in a tank, experiences an upthrust. What is the physical reason for this upthrust? A The density of the body differs from that of the liquid. B The density of the liquid increases with depth. C The pressure in the liquid increases with depth. D The value of g in the liquid increases with depth.

1 marks

Answer: C

This question in 9702/13 May/June 2010

15 Atmospheric pressure at sea level has a value of 100 kPa. The density of sea water is 1020 kg m–3. At what depth in the sea would the total pressure be 110 kPa? A 1.0 m B 9.8 m C 10 m D 11 m Space for working

1 marks

Answer: A

This question in 9702/13 May/June 2010

16 When ice melts, it contracts. Which row is correct for ice turning into water? distance between density atoms A decreases decreases B decreases increases C increases decreases D increases increases

1 marks

Answer: B

This question in 9702/13 May/June 2010

13 The diagrams show a metal cube suspended from a spring balance before and during immersion in water. before during immersion immersion A reduction in the balance reading occurs as a consequence of the immersion. Which statement is correct? A The balance reading will be further reduced if the cube is lowered further into the water. B The balance reading during immersion corresponds to the upthrust of the water on the cube. C The forces acting on the vertical sides of the cube contribute to the change in the balance reading. D The gravitational pull on the cube is unchanged by the immersion. Space for working

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2010

20 The pressure at sea level is approximately 100 000 Pa. The density of sea water is 1030 kg m–3. What is the approximate pressure 80 m below the surface of the sea? A 100 000 Pa B 180 000 Pa C 800 000 Pa D 900 000 Pa

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2010

20 The Mariana Trench in the Pacific Ocean has a depth of about 10 km. Assuming that sea water is incompressible and has a density of about 1020 kg m–3, what would be the approximate pressure at that depth? A 105 Pa B 106 Pa C 107 Pa D 108 Pa Space for working

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2010

19 1.5 m3 of water is mixed with 0.50 m3 of alcohol. The density of water is 1000 kg m–3 and the density of alcohol is 800 kg m–3. What is the density of the mixture with volume 2.0 m3? A 850 kg m–3 B 900 kg m–3 C 940 kg m–3 D 950 kg m–3 Space for working

1 marks

Answer: D

This question in 9702/11 May/June 2011

20 The diagram shows two vessels, P and Q, both with sides inclined at 45°. vessel P vessel Q Vessel P tapers outwards and vessel Q tapers inwards, as shown. Both vessels contain a liquid. The depth of the liquid in the vessels is the same. The liquid in vessel P is twice as dense as the liquid in vessel Q. pressure due to the liquid on the base of P What is the ratio ? pressure due to the liquid on the base of Q 2 2 1 1 A B C D 1 1 2 2 Space for working

1 marks

Answer: A

This question in 9702/12 May/June 2011

21 Two solid substances P and Q have atoms of mass MP and MQ respectively. They have nP and nQ atoms per unit volume. The density of P is greater than the density of Q. What must be correct? A MP > MQ B nP > nQ C MP nP > MQ nQ M > M D P Q n n P Q

1 marks

Answer: C

This question in 9702/12 May/June 2011

19 1.5 m3 of water is mixed with 0.50 m3 of alcohol. The density of water is 1000 kg m–3 and the density of alcohol is 800 kg m–3. What is the density of the mixture with volume 2.0 m3? A 850 kg m–3 B 900 kg m–3 C 940 kg m–3 D 950 kg m–3 Space for working

1 marks

Answer: D

This question in 9702/13 May/June 2011

20 A horizontal plate of area 0.036 m2 is beneath the surface of a liquid of density 930 kg m–3. The force on the plate due to the pressure of the liquid is 290 N. What is the depth of the plate beneath the surface of the liquid? A 0.88 m B 1.13 m C 8.7 m D 9.1 m

1 marks

Answer: A

This question in 9702/12 Oct/Nov 2011

22 The diagram shows the arrangement of atoms in a particular crystal. Each atom is at the corner of a cube. The mass of each atom is 3.5 × 10–25 kg. The density of the crystal is 9.2 × 103 kg m–3. What is the shortest distance between the centres of two adjacent atoms? A 3.8 × 10–29 m B 6.2 × 10–15 m C 3.4 × 10–10 m D 3.0 × 10–9 m Space for working

1 marks

Answer: C

This question in 9702/12 May/June 2012

23 A pipe is closed at one end and contains gas, trapped by a column of water. gas 7.0 m 5.0 m water The atmospheric pressure is 1.0 × 105 Pa. The density of water is 1000 kg m–3. What is the pressure of the gas? (Use g = 10 m s–2.) A 0.3 × 105 Pa B 0.5 × 105 Pa C 1.5 × 105 Pa D 1.7 × 105 Pa Space for working

1 marks

Answer: C

This question in 9702/12 May/June 2012

5 The density of the material of a coil of thin wire is to be found. Which set of instruments could be used to do this most accurately? A metre rule, protractor, spring balance B micrometer, metre rule, top-pan balance C stopwatch, newton-meter, vernier calipers D tape measure, vernier calipers, lever balance Space for working

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2012

19 A piston in a gas supply pump has an area of 600 cm2 and it moves a distance of 40 cm during one stroke. The pump moves the gas against a fixed pressure of 5000 Pa. How much work is done by the piston during one stroke? A 1.2 × 102 J B 1.2 × 104 J C 1.2 × 106 J D 1.2 × 108 J Space for working

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2012

19 A piston in a gas supply pump has an area of 500 cm2 and it moves a distance of 30 cm during one stroke. The pump moves the gas against a fixed pressure of 4000 Pa. How much work is done by the piston during one stroke? A 60 J B 6.0 × 103 J C 6.0 × 105 J D 6.0 × 107 J

1 marks

Answer: A

This question in 9702/12 Oct/Nov 2012

19 A piston in a gas supply pump has an area of 400 cm2 and it moves a distance of 25 cm during one stroke. The pump moves the gas against a fixed pressure of 3000 Pa. How much work is done by the piston during one stroke? A 30 J B 3.0 × 103 J C 3.0 × 105 J D 3.0 × 107 J

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2012

23 The diagram shows a rectangular block of mass 8.2 kg immersed in sea water of density 1.10 × 103 kg m–3. 2.00 m 2.20 m What is the difference in pressure between the top and bottom surfaces of the block? A 2.2 × 102 Pa B 2.2 × 103 Pa C 1.8 × 104 Pa D 2.3 × 104 Pa Space for working

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2012

15 The diagram represents a sphere under water. P, Q, R and S are forces acting on the sphere, due to the pressure of the water. water surface P S Q R Each force acts perpendicularly to the sphere’s surface. P and R act in opposite directions vertically. Q and S act in opposite directions horizontally. Which information about the magnitudes of the forces is correct? A P < R and S = Q B P > R and S = Q C P = R and S = Q and P ≠ S D P = R and S = Q and P = S Space for working

1 marks

Answer: A

This question in 9702/11 May/June 2013

21 A bore-hole of depth 2000 m contains both oil and water as shown. The pressure due to the liquids at the bottom of the bore-hole is 17.5 MPa. The density of the oil is 830 kg m–3 and the density of the water is 1000 kg m–3. oil x 2000 m water What is the depth x of the oil? A 907 m B 1000 m C 1090 m D 1270 m Space for working

1 marks

Answer: D

This question in 9702/11 May/June 2013

9 A strong wind of speed 33 m s–1 blows against a wall. The density of the air is 1.2 kg m–3. The wall has an area of 12 m2 at right angles to the wind velocity. The air has its speed reduced to zero when it hits the wall. What is the approximate force exerted by the air on the wall? A 330 N B 400 N C 480 N D 16 000 N Space for working

1 marks

Answer: D

This question in 9702/12 May/June 2013

11 A submarine is in equilibrium in a fully submerged position. sea steel water air What causes the upthrust on the submarine? A The air in the submarine is less dense than sea water. B The sea water exerts a greater upward force on the submarine than the weight of the steel. C The submarine displaces its own volume of sea water. D There is a difference in water pressure acting on the top and on the bottom of the submarine. Space for working

1 marks

Answer: D

This question in 9702/12 May/June 2013

18 A gas is enclosed inside a cylinder which is fitted with a frictionless piston. V1 p p heat gas V2 Initially, the gas has a volume V1 and is in equilibrium with an external pressure p. The gas is then heated slowly so that it expands, pushing the piston back until the volume of the gas has increased to V2. How much work is done by the gas during this expansion? 1 p(V2 – V1) 1 p(V2 + V1) A p(V2 – V1) B C p(V2 + V1) D 2 2 Space for working

1 marks

Answer: A

This question in 9702/12 May/June 2013

20 Two bulbs X and Y containing air at different pressures are connected by a tube P which contains two mercury threads. air pressure air pressure 16 000 Pa 8000 Pa P X Y h1 and h2 are h1 h2 not to scale mercury threads The density of mercury is 13 600 kg m–3. Which pair of values of h1 and h2 is possible? h1 / cm h2 / cm A 4.0 2.0 B 6.0 6.0 C 12.0 18.0 D 18.0 12.0

1 marks

Answer: D

This question in 9702/12 May/June 2013

30 Two conducting layers of a liquid crystal display of a calculator are 8 µm apart. A 1.5 V cell is connected across the conducting layers when the calculator is switched on. What is the electric field strength between the layers? A 1.2 × 10–5 V m–1 B 0.19 V m–1 C 12 V m–1 D 1.9 × 105 V m–1 Space for working

1 marks

Answer: D

This question in 9702/12 May/June 2013

18 The formula for hydrostatic pressure is p = ρ gh. Which equation, or principle of physics, is used in the derivation of this formula? mass A density = volume B potential energy = mgh C atmospheric pressure decreases with height D density increases with depth

1 marks

Answer: A

This question in 9702/13 May/June 2013

11 A beam of α-particles collides with a lead sheet. Each α-particle in the beam has a mass of 6.6 × 10–27 kg and a speed of 1.5 × 107 m s–1. 5.0 × 104 α-particles per second collide with an area of 1.0 cm2 of lead. Almost all of the α-particles are absorbed by the lead so that they have zero speed after collision. What is an estimate of the average pressure exerted on the lead by the α-particles? A 5.0 × 10–15 Pa B 5.0 × 10–13 Pa C 5.0 × 10–11 Pa D 5.0 × 10–9 Pa

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2013

22 Water in a bath varies in depth from 20.0 cm at the shallow end to 30.0 cm at the end with the plug. water bath 20.0 cm 30.0 cm plug The density of the water is 1000 kg m–3. What is the pressure of the water acting on the plug? A 1960 Pa B 2450 Pa C 2940 Pa D 4900 Pa

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2013

3 The drag coefficient Cd is a number with no units. It is used to compare the drag on different cars at different speeds. It is given by the equation 2 F Cd = ρ v n A where F is the drag force on the car, ρ is the density of the air, A is the cross-sectional area of the car and v is the speed of the car. What is the value of n? A 1 B 2 C 3 D 4

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2013

11 A beam of α-particles collides with a lead sheet. Each α-particle in the beam has a mass of 6.6 × 10–27 kg and a speed of 1.5 × 107 m s–1. 5.0 × 104 α-particles per second collide with an area of 1.0 cm2 of lead. Almost all of the α-particles are absorbed by the lead so that they have zero speed after collision. What is an estimate of the average pressure exerted on the lead by the α-particles? A 5.0 × 10–15 Pa B 5.0 × 10–13 Pa C 5.0 × 10–11 Pa D 5.0 × 10–9 Pa

1 marks

Answer: C

This question in 9702/12 Oct/Nov 2013

22 Water in a bath varies in depth from 20.0 cm at the shallow end to 30.0 cm at the end with the plug. water bath 20.0 cm 30.0 cm plug The density of the water is 1000 kg m–3. What is the pressure of the water acting on the plug? A 1960 Pa B 2450 Pa C 2940 Pa D 4900 Pa

1 marks

Answer: C

This question in 9702/12 Oct/Nov 2013

6 A student wishes to determine the density ρ of lead. She measures the mass and diameter of a small sphere of lead: mass = (0.506 ± 0.005) g diameter = (2.20 ± 0.02) mm. What is the best estimate of the percentage uncertainty in her value of ρ ? A 1.9% B 2.0% C 2.8% D 3.7%

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2013

20 Gold has a density of 19.3 g cm–3. The volume occupied by a single atom of gold may be considered to be a cube with sides of length 2.6 × 10–8 cm. What is the mass of a gold atom? A 3.4 × 10–25 g B 3.4 × 10–22 g C 1.3 × 10–17 g D 1.3 × 10–14 g Space for working

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2013

18 Liquid Q has twice the density of liquid R. At depth x in liquid R, the pressure due to the liquid is 4 kPa. At what depth in liquid Q is the pressure due to the liquid 7 kPa? A 2x B 7x C 8x D 7x 7 8 7 2

1 marks

Answer: B

This question in 9702/12 May/June 2014

22 The Mariana Trench in the Pacific Ocean has a depth of about 10 km. Assuming that sea water is incompressible and has a density of about 1020 kg m–3, what would be the approximate pressure at that depth? A 105 Pa B 106 Pa C 107 Pa D 108 Pa

1 marks

Answer: D

This question in 9702/13 May/June 2014

19 The diagram shows the atoms of a substance with the atoms at the corners of a cube. The average separation of the atoms at a particular temperature is 15 nm. 15 nm When the temperature changes so that the average separation becomes 17 nm, by which factor will the density of the substance change? A 0.61 B 0.69 C 0.78 D 0.88 Space for working

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2014

19 The diagram shows the atoms of a substance with the atoms at the corners of a cube. The average separation of the atoms at a particular temperature is 15 nm. 15 nm When the temperature changes so that the average separation becomes 17 nm, by which factor will the density of the substance change? A 0.61 B 0.69 C 0.78 D 0.88 Space for working

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2014

12 A sealed cylindrical steel can is situated below the surface of water. water air steel can What is the origin of the upthrust that acts on the can? A The air pressure in the can is less than the water pressure outside the can. B The average density of the air and steel is less than the density of water. C The water pressure on the bottom of the can is greater than the water pressure on the top. D The weight of displaced water acts upwards on the can. Space for working

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2014

20 Atmospheric pressure at sea level has a value of 100 kPa. The density of sea water is 1020 kg m–3. At which depth in the sea would the total pressure be 110 kPa? A 1.0 m B 9.8 m C 10 m D 11 m Space for working

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2014

22 The diagram shows two liquids, labelled P and Q, which do not mix. The liquids are in equilibrium in an open U-tube. P x Q x x density of P What is the ratio density of Q ? 1 2 3 A B C D 2 2 3 2 Space for working

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2014

21 The diagram shows the arrangement of atoms in a particular crystal. Each atom is at the corner of a cube. The mass of each atom is 3.5 × 10–25 kg. The density of the crystal is 9.2 × 103 kg m–3. What is the shortest distance between the centres of two adjacent atoms? A 3.8 × 10–29 m B 6.2 × 10–15 m C 3.4 × 10–10 m D 3.0 × 10–9 m

1 marks

Answer: C

This question in 9702/11 May/June 2015

20 The maximum pressure that granite rock can withstand is 2.0 × 108 N m–2. Above this pressure, the rock begins to flow like a liquid. The density of granite is 2.7 × 103 kg m–3. What would be the height of a pure granite mountain whose base is just beginning to flow? A 3.8 × 103 m B 7.6 × 103 m C 3.7 × 104 m D 7.4 × 104 m

1 marks

Answer: B

This question in 9702/12 May/June 2015

14 Four cuboids with identical length, breadth and height are immersed in water. The cuboids are held at the same depth and in identical orientations by vertical rods, as shown. W X Y Z 4 ρ 2 ρ ρ 0.5 ρ Water has density ρ. Cuboid W is made of material of density 4ρ. Cuboid X is made of material of density 2ρ. Cuboid Y is made of material of density ρ. Cuboid Z is made of material of density 0.5ρ. Which statement is correct? A The upthrust of the water on each of the cuboids is the same. B The upthrust of the water on W is twice the upthrust of the water on X. C The upthrust of the water on X is twice the upthrust of the water on W. D The upthrust of the water on Y is zero.

1 marks

Answer: A

This question in 9702/13 May/June 2015

15 An air bubble in a tank of water is rising with constant velocity. The forces acting on the bubble are X, Y and Z as shown. X velocity air bubble Y Z What describes the three forces? A Z is the viscous drag on the bubble, Y is the weight of the bubble, X is the upthrust on the bubble and X = Y + Z. B Z is the viscous drag on the bubble, Y is the weight of the bubble, X is the upthrust on the bubble and X > Y + Z. C Z is the weight of the bubble, Y is the viscous drag on the bubble, X is the upthrust on the bubble and X = Y + Z. D Z is the weight of the bubble, Y is the viscous drag on the bubble, X is the upthrust on the bubble and X > Y + Z.

1 marks

Answer: A

This question in 9702/13 May/June 2015

17 The gas in an engine does work on a piston of cross-sectional area 80 cm2. The pressure on the piston has a constant value of 4.6 × 105 Pa. 25 cm force of gas pushing piston final position initial position of piston of piston How much work is done by the gas on the piston when it moves through a distance of 25 cm? A 9.2 × 102 J B 9.2 × 104 J C 9.2 × 106 J D 9.2 × 108 J

1 marks

Answer: A

This question in 9702/13 May/June 2015

21 A W-shaped tube contains two amounts of mercury, each open to the atmosphere. Air at pressure P is trapped in between them. The diagram shows two vertical distances x and y. atmospheric atmospheric pressure pressure air at NOT TO pressure P SCALE x y 50 mm mercury Atmospheric pressure is equal to the pressure that would be exerted by a column of mercury of height 760 mm. The pressure P is expressed in this way. Which values of x, y and P are possible? P / mm of x / mm y / mm mercury A 20 20 780 B 20 30 780 C 30 20 810 D 30 30 790

1 marks

Answer: B

This question in 9702/13 May/June 2015

15 A gas is contained inside a sealed syringe, as shown. graduated gas syringe gas The volume of gas at room temperature is 2.0 cm3. Atmospheric pressure is 101 kPa. What is the work done by the gas when it is heated and expands to a volume of 6.0 cm3? A 404 µJ B 404 mJ C 404 J D 404 kJ

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2015

19 A U-tube closed at one end contains mercury. Air at a pressure of 5.0 × 104 Pa is trapped at the closed end. The other end is open to the atmosphere and is fitted with a piston of mass 5.0 kg and cross-sectional area 5.0 × 10–4 m2. The density of mercury is 13 600 kg m–3 and atmospheric pressure is 1.01 × 105 Pa. trapped air at pressure 5.0 × 104 Pa area h 5.0 × 10–4 m2 piston of mass 5.0 kg mercury What is the height h of the mercury column? A 37 cm B 44 cm C 74 cm D 110 cm

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2015

20 The diagram shows the cross-section of an Olympic-size swimming pool filled with water. It is not drawn to scale. The density of the water is 1000 kg m–3. water 50 m 2.35 m 2.00 m Y X bottom 6.00 m of pool What is the difference in pressure between X and Y? A 0.35 kPa B 3.4 kPa C 21.3 kPa D 58.9 kPa

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2015

19 A U-tube has one arm of area of cross-section A and the other of cross-section 4A. The tube contains water of density 1000 kg m–3 and oil of density 850 kg m–3, as shown. oil x 30.0 cm water The column of oil on top of the water in the left-hand arm is of length 30.0 cm. What is the difference in height x between the levels in the two arms of the tube? A 4.5 cm B 6.2 cm C 23.8 cm D 25.5 cm stress when the metal is

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2015

14 A giant squid of length 20.0 m is vertical in seawater, with the top of the squid at a depth of 8.00 m. The density of seawater is 1050 kg m–3. What is the difference in pressure between the top and the bottom of the squid? A 82 000 Pa B 206 000 Pa C 288 000 Pa D 389 000 Pa

1 marks

Answer: B

This question in 9702/12 Feb/March 2016

13 A solid metal cylinder stands on a horizontal surface, as shown. area A cylinder x surface The cylinder has length x and cross-sectional area A. The cylinder exerts a pressure p on the surface. The acceleration of free fall is g. Which expression gives the density of the metal of the cylinder? gx p gx pA A B C D p gx pA gx

1 marks

Answer: B

This question in 9702/11 May/June 2016

15 The diameter of a solid metal sphere is measured using a micrometer screw gauge. The diagram shows an enlargement of the shaft of the micrometer screw gauge when taking the measurement. 3 4 40 30 20 The mass of the sphere is 0.450 g. What is the density of the metal used to make the sphere? A 965 kg m–3 B 1340 kg m–3 C 7720 kg m–3 D 10 700 kg m–3

1 marks

Answer: C

This question in 9702/11 May/June 2016

13 In a large container in an oil refinery, three oils of different densities are mixed. No chemical activity occurs. The mixture consists of 1200 kg of oil of density 1100 kg m–3, 1500 kg of oil of density 860 kg m–3, 4000 kg of oil of density 910 kg m–3. What is the density of the mixture? A 927 kg m–3 B 957 kg m–3 C 1010 kg m–3 D 1080 kg m–3

1 marks

Answer: A

This question in 9702/12 May/June 2016

15 The density of air on the Earth decreases almost linearly with height from 1.22 kg m–3 at sea level to 0.74 kg m–3 at an altitude of 5000 m. Atmospheric pressure at the Earth’s surface on a particular day is 100 000 Pa. The value of g between the Earth’s surface and an altitude of 5000 m can be considered to have a constant value of 9.7 m s–2. What will be the atmospheric pressure at an altitude of 5000 m? A 36 000 Pa B 48 000 Pa C 52 000 Pa D 59 000 Pa

1 marks

Answer: C

This question in 9702/12 May/June 2016

11 The IKAROS satellite has mass 320 kg and moves through space using a solar sail of area 20 m2. The average solar wind pressure is 1.0 × 10–5 N m–2. What is the acceleration of the satellite caused by the solar wind? A 3.1 × 10–8 m s–2 B 6.3 × 10–7 m s–2 C 3.2 × 10–3 m s–2 D 6.4 × 10–2 m s–2

1 marks

Answer: B

This question in 9702/13 May/June 2016

15 For a change in depth ∆h in a liquid of density ρ, the change in pressure ∆p is given by ∆p = ∆hρ g where g is the acceleration of free fall. What is the equation, or principle of physics, used in the derivation of this formula? A atmospheric pressure decreases with height B change in gravitational potential energy = mass × g∆h mass C ρ = volume D the density of a fluid increases with depth

1 marks

Answer: C

This question in 9702/13 May/June 2016

14 A submarine has circular windows of diameter 0.30 m. The windows can experience a maximum external pressure of 660 kPa before they crack. What is the minimum external force needed to crack the windows? A 47 000 N B 190 000 N C 310 000 N D 620 000 N

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2016

14 A submarine has circular windows of diameter 0.30 m. The windows can experience a maximum external pressure of 660 kPa before they crack. What is the minimum external force needed to crack the windows? A 47 000 N B 190 000 N C 310 000 N D 620 000 N

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2016

9 Water flows out of a pipe and hits a wall. wall pipe velocity v cross-sectional area A water When the jet of water hits the wall, it has horizontal velocity v and cross-sectional area A. The density of the water is ρ. The water does not rebound from the wall. What is the force exerted on the wall by the water? ρ v ρ v 2 A B C ρ Av D ρ Av 2 A A

1 marks

Answer: D

This question in 9702/12 Feb/March 2017

15 Which force is caused only by a pressure difference? A friction B upthrust C viscous force D weight

1 marks

Answer: B

This question in 9702/12 Feb/March 2017

17 A gas is enclosed inside a cylinder which is fitted with a frictionless piston. V1 piston p gas p V2 Initially, the gas has a volume V1 and is in equilibrium with the external pressure p. The gas is then heated slowly so that it expands at constant pressure, pushing the piston back until the volume of the gas has increased to V2. How much work is done by the gas during this expansion? A B 1 p (V2 – V1) C D 1 p (V2 + V1) p (V2 – V1) p (V2 + V1) 2 2

1 marks

Answer: A

This question in 9702/12 Feb/March 2017

9 A student attempts to find the density ρ of aluminium by taking measurements of a rectangular sheet. mass m = 51.6 ± 0.1 g length l = 100.0 ± 0.1 cm width w = 10.0 ± 0.1 cm thickness t = 0.20 ± 0.01 mm He uses the equation ρ = m l to calculate the density. w t What is the calculated value of density with its uncertainty? A 0.26 ± 0.01 g cm–3 B 0.26 ± 0.02 g cm–3 C 2.6 ± 0.1 g cm–3 D 2.6 ± 0.2 g cm–3

1 marks

Answer: D

This question in 9702/11 May/June 2017

14 A metal block has a mass of 750 g. 60% of the mass is magnesium and the remainder is copper. The density of magnesium is 1.7 g cm–3. The density of copper is 9.0 g cm–3. What is the density of the block? A 2.5 g cm–3 B 4.6 g cm–3 C 5.4 g cm–3 D 10.7 g cm–3

1 marks

Answer: A

This question in 9702/11 May/June 2017

10 A metal cylinder is suspended vertically in equilibrium by a cord. The diagram shows the cylinder in four different positions P, Q, R and S. T T T T S R Q water P metal cylinder Which statement explains the variation of the tension T in the cord? A At P and at Q, the tension T in the cord is the same because the difference in pressure between the top and bottom of the cylinder is the same. B At Q, the tension T in the cord is less than at P because, at smaller depth, liquid pressure is smaller. C At R, the tension T in the cord is less than at P because atmospheric pressure is less than water pressure. D At S, the tension T in the cord is greater than at P because atmospheric pressure at S exerts no force on the top or bottom of the cylinder.

1 marks

Answer: A

This question in 9702/12 May/June 2017

13 What are the SI base units of the quantity density A s–2 B kg2 s–2 C kg2 m2 s–2 D m2 s–2

1 marks

Answer: D

This question in 9702/12 May/June 2017

13 The diagram represents a sphere under water. P, Q, R and S are forces acting on the sphere due to the pressure of the water. water surface P S Q R Each force acts perpendicularly to the sphere’s surface. P and R act in opposite directions vertically. Q and S act in opposite directions horizontally. Which information about the magnitudes of the forces is correct? A P < R and S = Q B P > R and S = Q C P = R and S = Q and P < S D P = R and S = Q and P = S

1 marks

Answer: A

This question in 9702/13 May/June 2017

12 A block is submerged vertically in a liquid. The four diagrams show, to scale, the forces exerted by the liquid on the block. Which diagram correctly shows a possible situation as viewed from the side? A B C D

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2017

15 The derivation of the pressure equation ∆p = ρ g∆h uses a number of relationships between quantities. Which relationship is not used in the derivation of this equation? A density = volume mass B potential energy = mass × acceleration of free fall × height C pressure = area force D weight = mass × acceleration of free fall

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2017

11 The diagram shows a block of copper suspended in water. face S face R The block experiences an upthrust from the water. Which statement is the basis of an explanation for this upthrust? A Copper is more dense than water. B The area of face R is greater than the area of face S. C The density of water increases with depth. D The pressure of water increases with depth.

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2017

15 Air is trapped inside a glass bulb which is immersed in water and attached to a U-tube containing mercury. The densities of water and mercury are ρw and ρm respectively. The surface of the water is open to the atmosphere where atmospheric pressure is P. atmospheric pressure P water surface glass bulb water density ρw ρ air hw hm U-tube mercury density ρm ρ The acceleration of free fall is g. What is the pressure of the air in the glass bulb? A P + gρwhw + gρmhm B P + gρwhw – gρmhm C gρwhw + gρmhm D gρwhw – gρmhm

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2017

14 A thin horizontal plate of area 0.036 m2 is beneath the surface of a liquid of density 930 kg m–3. The force on one side of the plate due to the pressure of the liquid is 290 N. What is the depth of the plate beneath the surface of the liquid? A 0.88 m B 1.1 m C 1.8 m D 8.7 m

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2017

4 The density of paper is 800 kg m–3. A typical sheet of paper has a width of 210 mm and a length of 300 mm. The thickness of a pack of 500 sheets of paper is 50 mm. What is the mass of a single sheet of paper? A 0.5 g B 5 g C 50 g D 500 g

1 marks

Answer: B

This question in 9702/12 Feb/March 2018

11 Blocks P, Q, R and S are made from material of the same density. Block T is made from a material of twice the density of the material of the other blocks. The cross-sectional area and height of each of the blocks are shown. 2h R 2h S h P h Q h T ground A 2A A 2A A Which two blocks exert the same pressure on the ground? A P and T B Q and R C Q and S D S and T

1 marks

Answer: D

This question in 9702/11 May/June 2018

13 Liquids X and Y are stored in large open tanks. Liquid X has a density of 800 kg m–3 and liquid Y has a density of 1200 kg m–3. At which depths are the pressures equal? depth in depth in liquid X / m liquid Y / m A 8 20 B 10 15 C 15 10 D 20 8

1 marks

Answer: C

This question in 9702/11 May/June 2018

10 The density of water is 1.0 g cm–3 and the density of glycerine is 1.3 g cm–3. Water is added to a measuring cylinder containing 40 cm3 of glycerine so that the density of the mixture is 1.1 g cm–3. Assume that the mixing process does not change the total volume of the liquid. What is the volume of water added? A 40 cm3 B 44 cm3 C 52 cm3 D 80 cm3

1 marks

Answer: D

This question in 9702/12 May/June 2018

12 A cylindrical block of wood has cross-sectional area A and weight W. It is totally immersed in water with its axis vertical. The block experiences pressures pt and pb at its top and bottom surfaces respectively. Which expression is equal to the upthrust on the block? A (pb – pt) B (pb – pt)A C (pb – pt)A – W D (pb – pt)A + W

1 marks

Answer: B

This question in 9702/12 May/June 2018

10 Four cuboids with identical lengths, breadths and heights are immersed in water. The cuboids are held at the same depth and in identical orientations by vertical rods, as shown. W X Y Z 4 ρ 2 ρ ρ 0.5 ρ Water has density ρ. Cuboid W is made of material of density 4ρ. Cuboid X is made of material of density 2ρ. Cuboid Y is made of material of density ρ. Cuboid Z is made of material of density 0.5ρ. Which statement is correct? A The upthrust of the water on each of the cuboids is the same. B The upthrust of the water on W is twice the upthrust of the water on X. C The upthrust of the water on X is twice the upthrust of the water on W. D The upthrust of the water on Y is zero.

1 marks

Answer: A

This question in 9702/13 May/June 2018

11 A rectangular block of lead of density 1.13 × 104 kg m–3 has sides of length 12.0 cm, 15.0 cm and 10.0 cm. What is the maximum pressure the block can exert when resting on a table? A 1.13 kPa B 1.70 kPa C 11.1 kPa D 16.6 kPa

1 marks

Answer: D

This question in 9702/13 May/June 2018

13 Full-fat milk is made up of fat-free milk mixed with fat. A volume of 1.000 × 10–3 m3 of full-fat milk has a mass of 1.035 kg. It contains 4.00% fat by volume. The density of fat-free milk is 1.040 × 103 kg m–3. What is the density of fat? A 1.25 × 102 kg m–3 B 9.15 × 102 kg m–3 C 9.28 × 102 kg m–3 D 1.16 × 103 kg m–3

1 marks

Answer: B

This question in 9702/13 May/June 2018

13 A vertical tube, closed at one end, is immersed in water. A column of air is trapped inside the tube. water surface 20.0 cm water 30.0 cm air 30.0 cm vertical tube The density of water is 1000 kg m–3. What is the difference between the pressure of the air in the tube and the atmospheric pressure? A 1960 Pa B 2940 Pa C 4910 Pa D 7850 Pa

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2018

15 A mass m is on top of a platform that is supported by gas in a cylinder of cross-sectional area A, as shown. mass m platform h gas The platform has negligible mass and can move freely up and down. The gas is heated and expands so that the mass is raised through a height h. Atmospheric pressure is p. gain in gravitatio nal potential energy of the mass What is the ratio ? work done by the gas mg mg pA mg − pA A B C D pA mg + pA mg mg

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2018

14 The density of the air in the atmosphere decreases as the height h above the surface of the Earth increases. Which graph best shows the variation with height h of the pressure p of the air? A B C D p p p p 0 0 0 0 0 h 0 h 0 h 0 h

1 marks

Answer: C

This question in 9702/12 Oct/Nov 2018

20 A metal cylinder is able to withstand a compressive force of 4.0 kN without deforming plastically. 4.0 kN 4.0 kN The cylinder has cross-sectional area A and would be at its elastic limit when a stress σ is applied. What is a possible pair of values for A and σ ? A / m2 σ / MPa A 1.5 × 10–5 50 B 1.5 × 10–5 80 C 7.5 × 10–5 50 D 7.5 × 10–5 80

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2018

14 What is a unit for density? A N m–3 B g mm–1 C kg cm–2 D µg mm–3

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2018

14 An object shaped as a hemisphere rests with its flat surface on a table. The object has radius r and density ρ. r table The volume of a sphere is 3 4 πr 3. Which average pressure does the object exert on the table? A 1 ρr 2 B 1 ρr 2g C 2 ρr D 2 ρrg 3 3 3 3

1 marks

Answer: D

This question in 9702/12 Feb/March 2019

12 A cylindrical iceberg of height H floats in sea water. The top of the iceberg is at height h above the surface of the water. iceberg h H sea water The density of ice is ρ i and the density of sea water is ρ w. What is the height h of the iceberg above the sea water? − ρ   ρ  ρ ρ H A  1 i  H B  i −1  H C w H D i  ρ   ρ  ρ ρ w w i w

1 marks

Answer: A

This question in 9702/11 May/June 2019

16 An empty glass beaker has a mass of 103 g. When filled with water, it has a total mass of 361 g. When filled with cooking oil, it has a total mass of 351 g. The density of water is 1.00 g cm–3. What is the density of the cooking oil? A 0.961 g cm–3 B 0.972 g cm–3 C 1.03 g cm–3 D 1.04 g cm–3

1 marks

Answer: A

This question in 9702/11 May/June 2019

15 A volume of 1.5 m3 of water is mixed with 0.50 m3 of alcohol. The density of water is 1000 kg m–3 and the density of alcohol is 800 kg m–3. The volume of the mixture is 2.0 m3. What is the density of the mixture? A 850 kg m–3 B 900 kg m–3 C 940 kg m–3 D 950 kg m–3

1 marks

Answer: D

This question in 9702/12 May/June 2019

21 The diagram shows the arrangement of atoms in a particular crystal. Each atom is at the corner of a cube. The mass of each atom is 3.5 × 10–25 kg. The density of the crystal is 9.2 × 103 kg m–3. What is the shortest distance between the centres of two adjacent atoms? A 3.8 × 10–29 m B 6.2 × 10–15 m C 3.4 × 10–10 m D 3.0 × 10–9 m

1 marks

Answer: C

This question in 9702/12 May/June 2019

2 Osmium, a naturally occurring element, has a density of 23 000 kg m–3. What is also a value of the density of osmium? A 2.3 × 104 µg cm–3 B 2.3 × 104 g cm–3 C 2.3 kg cm–3 D 2.3 × 10–2 kg cm–3

1 marks

Answer: D

This question in 9702/13 May/June 2019

14 Water has a density of 1.0 g cm–3. Glycerine has a density of 1.3 g cm–3. A student measures out a volume of 40 cm3 of glycerine into a container. The student adds water to the container to make a mixture of water and glycerine. Assume that the total volume of water and glycerine does not change when the two liquids are mixed. Which volume of water needs to be added to make a mixture of density 1.1 g cm–3? A 4.0 cm3 B 8.0 cm3 C 34 cm3 D 80 cm3

1 marks

Answer: D

This question in 9702/13 May/June 2019

11 An object of weight W is suspended from a newton meter. When the object is completely immersed in water, the newton meter reads P. When the object is completely immersed in oil, the newton meter reads Q. N N P Q water oil density of oil What is the ratio ? density of water W − P Q − P W − P W − Q A B C D Q − P W − P W − Q W − P

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2019

14 In a large container in an oil refinery, three oils of different densities are mixed. No chemical activity occurs. The mixture consists of: 1200 kg of oil of density 1100 kg m–3 1500 kg of oil of density 860 kg m–3 4000 kg of oil of density 910 kg m–3. What is the density of the mixture? A 927 kg m–3 B 933 kg m–3 C 957 kg m–3 D 1045 kg m–3

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2019

13 Four measuring cylinders are filled with the same liquid to the heights shown. At which position is the pressure the greatest? A 30 cm 30 cm B C 10 cm 10 cm D

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2019

14 The gas in an engine does work on a piston of cross-sectional area 80 cm2. The pressure on the piston has a constant value of 4.6 × 105 Pa. 25 cm force of gas pushing piston final position initial position of piston of piston How much work is done by the gas on the piston when it moves through a distance of 25 cm? A 9.2 × 102 J B 9.2 × 104 J C 9.2 × 106 J D 9.2 × 108 J

1 marks

Answer: A

This question in 9702/12 Oct/Nov 2019

16 A wooden cylinder floats partially submerged in a bath of water. A force F is applied to the cylinder until it is just fully submerged. wooden cylinder water F Which statement is not correct? A Some of the water gains gravitational potential energy. B The cylinder loses gravitational potential energy. C Work is done by force F on the cylinder. D Work is done by the upthrust on the cylinder.

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2019

10 A solid sphere, which is less dense than water, is held completely immersed in water a few metres below the surface. The density of the water is uniform. The sphere is released. Immediately after release, the sphere rises. Which row correctly describes the changes in the upthrust on the sphere and the resultant force on the sphere? upthrust on resultant force the sphere on the sphere A constant increasing B constant decreasing C decreasing increasing D decreasing decreasing

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2019

13 At sea level, atmospheric pressure is 100 kPa and the density of air is 1.3 kg m–3. Assume that the density of air decreases linearly with height above sea level. What is an estimate of the total height of the atmosphere based on this information? A 7.8 km B 16 km C 77 km D 150 km

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2019

15 A piston in a gas supply pump has an area of 500 cm2 and it moves a distance of 30 cm. The pump moves the gas against a fixed pressure of 4000 Pa. How much work is done by the piston? A 60 J B 6.0 × 103 J C 6.0 × 105 J D 6.0 × 107 J

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2019

14 A cylinder contains a volume of 0.012 m3 of gas at a pressure of 1.0 × 105 Pa. 400 J of work is done on this gas, with its pressure remaining constant throughout. What is the final volume of the gas? A 0.0040 m3 B 0.0080 m3 C 0.016 m3 D 0.020 m3

1 marks

Answer: B

This question in 9702/12 Feb/March 2020

15 A rectangular metal bar exerts a pressure of 15 200 Pa on the horizontal surface on which it rests. The height of the metal bar is 80 cm. What is the density of the metal? A 190 kg m–3 B 1900 kg m–3 C 19 000 kg m–3 D 190 000 kg m–3

1 marks

Answer: B

This question in 9702/11 May/June 2020

13 A pipe, open at one end, floats in a liquid as shown. 0.40 m 0.30 m area 0.012 m2 The cross-sectional area of the pipe is 0.012 m2. The weight of the pipe is 32 N. What is the density of the liquid? A 680 kg m–3 B 910 kg m–3 C 6700 kg m–3 D 8900 kg m–3

1 marks

Answer: B

This question in 9702/12 May/June 2020

2 A sample of gas has a mass of 4.8 µg and occupies a volume of 1.2 dm3. What is the density of the sample of gas? A 4.0 × 10–3 kg m–3 B 4.0 × 10–5 kg m–3 C 4.0 × 10–6 kg m–3 D 4.0 × 10–8 kg m–3

1 marks

Answer: C

This question in 9702/13 May/June 2020

11 A submarine is in equilibrium in a fully submerged position. sea steel water air What causes the upthrust on the submarine? A The air in the submarine is less dense than sea water. B There is a difference in water pressure acting on the top and on the bottom of the submarine. C The sea water exerts a greater upward force on the submarine than the weight of the steel. D The submarine displaces its own volume of sea water.

1 marks

Answer: B

This question in 9702/13 May/June 2020

15 Liquid Q has twice the density of liquid R. At depth x in liquid R, the pressure due to the liquid is 4 kPa. At which depth in liquid Q is the pressure due to the liquid 7 kPa? A 2x B 7x C 8x D 7x 7 8 7 2

1 marks

Answer: B

This question in 9702/13 May/June 2020

17 A cylinder is heated, causing the air inside to expand at a constant pressure of 2.2 × 105 Pa. piston raised piston 0.50 m cylinder air pressure 2.2 × 105 Pa The expansion of the air causes the piston to rise through a vertical distance of 0.50 m, doing 11 kJ of work. Frictional forces are negligible. What is the cross-sectional area of the piston? A 1.0 × 10–4 m2 B 2.5 × 10–2 m2 C 5.0 × 10–2 m2 D 1.0 × 10–1 m2

1 marks

Answer: D

This question in 9702/13 May/June 2020

14 One end of a U-shaped tube is attached to a gas tap, with its other end open to the atmosphere. It contains water of density 1000 kg m–3 and the heights of both sides of the water column are shown. open to atmosphere tube pressure from gas tap 31.4 cm 10.2 cm water, density 1000 kg m–3 The atmospheric pressure is 101 kPa. What is the pressure of the gas from the gas tap? A 99 kPa B 100 kPa C 102 kPa D 103 kPa

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2020

15 A cylindrical block of ice of cross-sectional area 12 m2 is floating, partially submerged, in the sea. The density of the sea water is 1020 kg m–3. A polar bear of mass 400 kg steps onto the block of ice. bear, mass 400 kg cross-sectional area 12 m2 sea water, density 1020 kg m–3 The block of ice sinks a vertical distance d. What is the value of d ? A 3.3 mm B 3.3 cm C 0.32 m D 3.1 m

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2020

15 A solid cylinder of density  C, cross-sectional area A and length X is submerged in a liquid of density  L. The upper face of the cylinder is at a depth H below the surface of the liquid, as shown. surface of liquid H cross-sectional area A cylinder X The acceleration of free fall is g. Which expression gives the magnitude of the upthrust force acting on the cylinder? A  CAHg B  CAXg C  LAHg D  LAXg

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2020

1 What is a reasonable estimate for the density of sand? A 2 × 102 g cm–3 B 2 × 103 g cm–3 C 2 × 101 kg m–3 D 2 × 103 kg m–3

1 marks

Answer: D

This question in 9702/12 Feb/March 2021

14 A balance is used to measure the mass m of a number of cylindrical metal rods of length l. All the metal rods have the same radius r. The graph shows the variation with l of m. m 0 0 l The gradient of the graph is G. Which expression gives the density of the metal? G G Gπr 2 A π B G2πr C D 2 r π r 2

1 marks

Answer: C

This question in 9702/12 Feb/March 2021

16 A gas is contained in a cylinder by a movable piston. final position of piston initial position of piston 35.0 cm gas 30.0 cm cylinder 20.0 cm The cylinder has a circular cross-section of diameter 20.0 cm. The pressure of the gas is 102 Pa and the piston is initially 30.0 cm from the base of the cylinder. The gas is heated causing the piston to move up so that it is 35.0 cm from the base. The pressure of the gas remains constant. How much work does the gas do in moving the piston? A 0.160 J B 0.641 J C 1.12 J D 4.49 J

1 marks

Answer: A

This question in 9702/12 Feb/March 2021

14 Water of depth 9.0 cm is covered by oil of depth 5.0 cm in a measuring cylinder. The density of the water is 1000 kg m–3 and the density of the oil is 800 kg m–3. What is the total pressure exerted on the base of the measuring cylinder due to the oil and water? A 390 Pa B 880 Pa C 1200 Pa D 1300 Pa

1 marks

Answer: D

This question in 9702/11 May/June 2021

15 The derivation of the pressure equation p =  gh uses a number of relationships between quantities. Which relationship is not used in the derivation of this equation? A density = volume mass B potential energy = mass  acceleration of free fall  height C pressure = area force D weight = mass  acceleration of free fall

1 marks

Answer: B

This question in 9702/13 May/June 2021

11 A uniform solid block is fully submerged in a tank of water. The dimensions of the block are x and y, as shown. water surface d x x y The block is held vertically in the position shown. The density of the block is the same as the density of the water. If the block is always held at the same depth d below the surface of the water, which single change would increase the magnitude of the upthrust force on the block? A decrease the density of the block B hold the block horizontally C increase dimension y D increase the density of the block

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2021

14 A bird dives to a depth of 1.50 m below the surface of a lake. Atmospheric pressure is 101 kPa. The density of water is 1000 kg m–3. What is the pressure at this depth? A 14.7 kPa B 86.3 kPa C 103 kPa D 116 kPa

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2021

15 The diagram shows two blocks X and Y. block X block Y a a 1 a a 2 2a a Block X has sides of length a. When block X is placed in a liquid of density  with the shaded face level with the liquid surface, it experiences an upthrust U. Block Y has horizontal sides of length a and 2a and height 1 2a . Block Y is placed in a liquid of density 2, also with the shaded face level with the liquid surface. What is the upthrust on block Y? A 2 U 1 B U C 2U D 4U

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2021

16 A gas is contained inside a syringe, as shown. syringe gas The initial volume of the gas is 2.00 cm3. Atmospheric pressure is 101 kPa. What is the work done by the gas on the atmosphere when the gas is heated and expands to a volume of 6.00 cm3? A 404 J B 404 mJ C 404 J D 404 kJ

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2021

13 A rigid sphere is held at rest on the sea bed. When the sphere is released, it rises to the surface of the sea. The seawater has a uniform density. Which statement about the sphere, from its release until it reaches the surface, is correct? A The sphere always moves with constant acceleration. B The sphere always moves with constant velocity. C The upthrust on the sphere always decreases. D The upthrust on the sphere is always constant.

1 marks

Answer: D

This question in 9702/12 Feb/March 2022

14 What is a unit for density? A N m–3 B g mm–1 C kg cm–2 D g mm–3

1 marks

Answer: D

This question in 9702/12 Feb/March 2022

14 A solid block has sides of length L, 2L and 4L. The block is submerged in water of uniform density so that the faces with the largest area are horizontal, as shown. surface of water L 2L 4L The upthrust acting on the block is U. The block is now rotated to a new position so that the faces with the smallest area are horizontal. The block remains fully submerged in the water. What is the upthrust acting on the block in its new position? U A B U C 2U D 4U 4

1 marks

Answer: B

This question in 9702/11 May/June 2022

15 In a large container in an oil refinery, three oils of different densities are mixed. No chemical activity occurs. The mixture consists of: 1200 kg of oil of density 1100 kg m–3 1500 kg of oil of density 860 kg m–3 4000 kg of oil of density 910 kg m–3. What is the density of the mixture? A 927 kg m–3 B 933 kg m–3 C 957 kg m–3 D 1045 kg m–3

1 marks

Answer: A

This question in 9702/11 May/June 2022

14 A granite rock at the surface of the Earth has density . The rock is transported to the surface of another planet. The acceleration of free fall on the surface of the other planet is twice that on the surface of the Earth. What is the density of the rock on the other planet? A 0.5 B  C 2 D 4

1 marks

Answer: B

This question in 9702/12 May/June 2022

15 Aclosed U-shaped tube contains a stationary liquid of density p. One side of the tube contains a gas at pressure p, and the other side contains a gas at pressure p2, as shown. gas, pressure p, gas, pressure p, liquid, density p The acceleration of free fall is g. Which equation is correct? A pr=pgy Bo p2= pg(x — Z) C pi-p2= pg(y-Z) D pi + po = pgx

1 marks

Answer: C

This question in 9702/12 May/June 2022

14 The density of water is 1.0 g cm–3 and the density of glycerine is 1.3 g cm–3. Water is added to a measuring cylinder containing 40 cm3 of glycerine so that the density of the mixture is 1.1 g cm–3. Assume that the mixing process does not change the total volume of the liquid. What is the volume of water added? A 40 cm3 B 44 cm3 C 52 cm3 D 80 cm3

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2022

15 A box, in the shape of a cube, falls from a ship into the sea. The box lands with its lower face level with the surface of the sea. box on the surface of the sea surface of sea surface of sea box sinking The box begins to sink, becomes totally submerged and then sinks deeper into the sea. As the box sinks, its lower face is always parallel to the surface of the sea. Which graph best represents the variation of the upthrust acting on the box with the depth of its lower face below the surface of the sea? A B C D upthrust upthrust upthrust upthrust 0 0 0 0 0 depth 0 depth 0 depth 0 depth

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2022

15 A solid cube is floating in equilibrium in liquid mercury. The cube is made of iron of density 7900 kg m–3. The cube floats with 42% of its volume above the surface of the mercury. What is the density of the mercury? A 3300 kg m–3 B 4600 kg m–3 C 14 000 kg m–3 D 19 000 kg m–3

1 marks

Answer: C

This question in 9702/12 Oct/Nov 2022

16 The diagram shows two vessels, P and Q, both with sides inclined at 45 to the horizontal. vessel P vessel Q Vessel P tapers outwards and vessel Q tapers inwards, as shown. Both vessels contain a liquid. The depth of the liquid in the vessels is the same. The liquid in vessel P is twice as dense as the liquid in vessel Q. pressure due to the liquid on the base of P What is the ratio ? pressure due to the liquid on the base of Q 2 2 1 1 A B C D 1 1 2 2

1 marks

Answer: A

This question in 9702/12 Oct/Nov 2022

14 Water is pumped through a nozzle at the end of a hose. The nozzle has a circular cross-section of diameter 50 mm. A mass of 100 kg of water takes a time of 2.0 s to move through the nozzle. The density of water is 1000 kg m–3. What is the speed of the water in the nozzle? A 6.4 m s–1 B 13 m s–1 C 25 m s–1 D 51 m s–1

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2022

15 A solid wooden cube rests on a horizontal surface. What gives the pressure exerted by the weight of the cube on the horizontal surface? A the product of the acceleration of free fall and the density of the cube B the product of the acceleration of free fall, the density and the side length of the cube C the product of the acceleration of free fall, the density and the area of one face of the cube D the product of the acceleration of free fall, the density and the volume of the cube

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2022

13 An object shaped as a hemisphere rests with its flat surface on a table. The object has radius r and density ρ. r table The volume of a sphere is 3 4 πr 3. Which average pressure does the object exert on the table? A 1 ρ r 2 B 1 ρ r 2g C 2 ρ r D 2 ρ rg 3 3 3 3

1 marks

Answer: D

This question in 9702/12 Feb/March 2023

14 A probe is used to monitor the quality of the water in the sea. The probe is suspended by a vertical string which is attached to a sphere. The stationary sphere floats in equilibrium on the surface of the sea, as shown. sphere air sea string probe The sphere has a weight of 5.00 N. The probe and string have a combined weight of 2.00 N. The density of the seawater is 1.03 × 103 kg m–3. The upthrust acting on the probe and thread is negligible. What is the volume of the sphere below the surface of the sea? A 1.98 × 10–4 m3 B 2.97 × 10–4 m3 C 4.95 × 10–4 m3 D 6.93 × 10–4 m3

1 marks

Answer: D

This question in 9702/12 Feb/March 2023

14 Which expression for pressure is correct? A force per unit area B force per unit volume C mass per unit area D mass per unit volume

1 marks

Answer: A

This question in 9702/11 May/June 2023

15 A ball has a mass of 0.50 kg and a volume of 1.3  10–3 m3. The ball is floating in equilibrium on still water. The two forces that act on the ball are its weight and the upthrust due to the water. The density of the water is 1.0  103 kg m–3. What is the percentage of the volume of the ball above the surface of the water? A 3.9% B 38% C 62% D 96%

1 marks

Answer: C

This question in 9702/11 May/June 2023

1 A stone sinks in water. What is a possible value for the density of the stone? A 8  102 kg m–3 B 2  103 kg m–3 C 8  103 N m–3 D 2  104 N m–3

1 marks

Answer: B

This question in 9702/12 May/June 2023

13 Two solid cubes X and Y are made of material of the same density. Cube X has twice the mass of cube Y. Cube X has sides of length x. Cube Y has sides of length y. x ? What is the ratio y A 1.26 B 1.41 C 2.00 D 8.00

1 marks

Answer: A

This question in 9702/12 May/June 2023

14 A U-shaped glass tube contains liquid of density 2000 kg m–3, as shown. tube P liquid, density 2000 kg m–3 Q 10.0 cm 6.0 cm What is the difference in pressure due to the liquid between levels P and Q? A 780 Pa B 1200 Pa C 1600 Pa D 2000 Pa

1 marks

Answer: A

This question in 9702/12 May/June 2023

7 A device for spraying paint consists of a box with its faces horizontal and vertical. One of its vertical faces contains small holes. Paint is fed into the box under pressure via a vertical tube and exits through the holes as fine streams moving horizontally. paint in paint out through holes (only a few holes are shown) The paint is ejected at a speed of 2.5 m s–1 through 400 holes, each of area 0.4 mm2. The density of the paint is 900 kg m–3. What is the horizontal force required to hold the device stationary as it ejects the paint? A 0.36 N B 0.90 N C 2.3 N D 900 N

1 marks

Answer: B

This question in 9702/13 May/June 2023

13 A volume of 1.5 m3 of water is mixed with 0.50 m3 of alcohol. The density of water is 1000 kg m–3 and the density of alcohol is 800 kg m–3. The volume of the mixture is 2.0 m3. What is the density of the mixture? A 850 kg m–3 B 900 kg m–3 C 940 kg m–3 D 950 kg m–3

1 marks

Answer: D

This question in 9702/13 May/June 2023

14 An object is falling at a constant speed through a viscous liquid. FU is the upthrust on the object due to the liquid. WL is the weight of the liquid displaced by the object. WO is the weight of the object. Which equation must be correct? A FU = WL B FU = WO – WL C FU = WO D FU = WO + WL

1 marks

Answer: A

This question in 9702/13 May/June 2023

14 Two solid cylindrical objects X and Y are held fully submerged in a liquid, as shown. surface of liquid Y X The objects have the same volume. The density of the material of Y is twice the density of the material of X. Both objects are stationary. Which statement is correct? A The force due to the liquid acting on the top surface of X is greater than that acting on the top surface of Y. B The pressure difference due to the liquid between the top and bottom surfaces of X is the same as that for Y. C The upthrust acting on X is the same as the upthrust acting on Y. D The weight of X is the same as the weight of Y.

1 marks

Answer: C

This question in 9702/12 Oct/Nov 2023

13 Full-fat milk is made up of fat-free milk mixed with fat. A volume of 1.000  10–3 m3 of full-fat milk has a mass of 1.035 kg. It contains 4.00% fat by volume. The density of fat-free milk is 1.040  103 kg m–3. What is the density of fat? A 1.25  102 kg m–3 B 9.15  102 kg m–3 C 9.28  102 kg m–3 D 1.16  103 kg m–3

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2023

14 Which expression for pressure is correct? A force per unit area B mass per unit area C mass per unit volume D weight per unit volume

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2023

15 A wooden cylinder floats partially submerged in a bath of water. A force F is applied to the cylinder until it is just fully submerged. wooden cylinder water F Which statement is not correct? A Some of the water gains gravitational potential energy. B The cylinder loses gravitational potential energy. C Work is done by force F on the cylinder. D Work is done by the upthrust on the cylinder.

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2023

10 A ball falls through a liquid at a constant speed. It is acted upon by three forces: an upthrust, a drag force and its weight. The liquid has a uniform density. Which statement is correct? A The drag force increases with increasing depth. B The drag force is equal to the sum of the upthrust and weight. C The upthrust is constant with increasing depth. D The weight is greater than the sum of the drag force and the upthrust.

1 marks

Answer: C

This question in 9702/12 Feb/March 2024

11 Some small solid cubes each have mass 1.0 kg and sides of length 5.0 cm. These small cubes are stacked together to form a large solid cube with sides of length 2.0 m. What is the weight of the large cube? A 0.39 kN B 0.39 MN C 0.63 MN D 0.63 GN

1 marks

Answer: C

This question in 9702/12 Feb/March 2024

12 A borehole of depth 2000 m contains both oil and water, as shown. The pressure due to the liquids at the bottom of the borehole is 17.5 MPa. The density of the oil is 830 kg m–3 and the density of the water is 1000 kg m–3. oil x 2000 m water What is the depth x of the oil? A 907 m B 1000 m C 1090 m D 1270 m

1 marks

Answer: D

This question in 9702/12 Feb/March 2024

11 A thin horizontal plate of area 0.036 m2 is beneath the surface of a liquid of density 930 kg m–3. The force on one side of the plate due to the pressure of the liquid is 290 N. What is the depth of the plate beneath the surface of the liquid? A 0.88 m B 1.1 m C 1.8 m D 8.7 m

1 marks

Answer: A

This question in 9702/11 May/June 2024

13 Water has a density of 1.0 g cm–3. Glycerine has a density of 1.3 g cm–3. A student measures out a volume of 40 cm3 of glycerine into a container. The student adds water to the container to make a mixture of water and glycerine. Assume that the total volume of water and glycerine does not change when the two liquids are mixed. Which volume of water needs to be added to make a mixture of density 1.1 g cm–3? A 4.0 cm3 B 8.0 cm3 C 34 cm3 D 80 cm3

1 marks

Answer: D

This question in 9702/12 May/June 2024

13 The diagram shows the arrangement of atoms in a particular crystal. Each atom is at the corner of a cube. The mass of each atom is 3.5  10–25 kg. The density of the crystal is 9.2  103 kg m–3. What is the shortest distance between the centres of two adjacent atoms? A 3.8  10–29 m B 6.2  10–15 m C 3.4  10–10 m D 3.0  10–9 m

1 marks

Answer: C

This question in 9702/13 May/June 2024

14 Four measuring cylinders are filled with the same liquid to the heights shown. At which position is the pressure the greatest? A 30 cm 30 cm B C 10 cm 10 cm D

1 marks

Answer: B

This question in 9702/13 May/June 2024

15 A solid sphere, which is less dense than water, is held completely immersed in water a few metres below the surface. The density of the water is uniform. The sphere is released. Immediately after release, the sphere rises. Which row describes the changes in the magnitudes of the upthrust on the sphere and the resultant force on the sphere as it rises? upthrust on resultant force the sphere on the sphere A constant decreasing B constant increasing C decreasing decreasing D decreasing increasing

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2024

14 A rectangular block of lead of density 1.13  104 kg m–3 has sides of length 12.0 cm, 15.0 cm and 10.0 cm. What is the maximum pressure the block can exert when resting on a table? A 1.13 kPa B 1.70 kPa C 11.1 kPa D 16.6 kPa

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2024

2 What is a reasonable estimate of the mass of a solid sphere of copper that has a diameter of 60 cm? A 0.1 kg B 10 kg C 1000 kg D 100 000 kg

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2024

5 Four cuboids with identical lengths, breadths and heights are immersed in water. The cuboids are held at the same depth and in identical orientations by vertical rods, as shown. Water has density p. Cuboid W is made of material of density 4. Cuboid X is made of material of density 2:. Cuboid Y is made of material of density p. Cuboid Z is made of material of density 0.5:. Which statement is correct? A B Cc D The upthrust of the water on each of the cuboids is the same. The upthrust of the water on W is twice the upthrust of the water on X. The upthrust of the water on X is twice the upthrust of the water on W. The upthrust of the water on Y is zero.

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2024

16 The diagram shows two liquids, labelled P and Q, that do not mix. The liquids are in equilibrium in an open U-tube. Three equal distances x are labelled. P x x Q x density of P What is the ratio ? density of Q 1 2 3 A B C D 2 2 3 2

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2024

10 An object is fully submerged in a liquid. upthrust acting on the object A student determines the ratio . weight of the object Which single change would double the value of this ratio? A Use a different liquid that has twice the density and the same volume as the original liquid. B Use a different object that has half the volume and the same density as the original object. C Use a different object that has twice the density and the same volume as the original object. D Use a different object that has twice the volume and the same density as the original object.

1 marks

Answer: A

This question in 9702/12 Feb/March 2025

12 A student takes measurements to calculate the density of a liquid in a beaker. The height of the liquid in the beaker is 0.20 m  2%. The internal diameter of the beaker is 0.05 m  3%. The mass of the liquid is 0.36 kg  10%. What is the percentage uncertainty in the calculated density of the liquid? A 2% B 5% C 15% D 18%

1 marks

Answer: D

This question in 9702/12 Feb/March 2025

14 A uniform cylinder of weight 25.0 N is suspended from a newton meter. The cylinder is fully submerged in water, as shown. The reading on the newton meter is 10.0 N. newton meter cylinder water The water is replaced by a liquid with a density 10% greater than the density of water. The cylinder remains fully submerged. What is the new reading on the newton meter? A 8.5 N B 9.0 N C 11.0 N D 11.5 N

1 marks

Answer: A

This question in 9702/11 May/June 2025

16 A submarine is at a depth of 130 m below the surface of the sea. The pressure on the submarine due to the sea water is p. The submarine sinks to a depth of 260 m below the surface. Assume that the density of sea water is constant. What is the difference between the pressures on the submarine due to the sea water at the two depths? A 0 B 0.5p C p D 2p

1 marks

Answer: C

This question in 9702/11 May/June 2025

14 A wooden block is held stationary in a container of water using a string that is attached to both the wooden block and the bottom of the container. container wooden block water string The wooden block has mass m and volume V. The water has density . The acceleration of free fall is g. What is the magnitude of the force acting on the block due to the tension in the string? A  gV B mg +  gV C mg D  gV – mg

1 marks

Answer: D

This question in 9702/12 May/June 2025

16 A block is submerged vertically in a liquid. The four diagrams show the block viewed from the side. Which diagram shows, to scale, the forces exerted on equal areas of the block by the liquid? A B C D

1 marks

Answer: A

This question in 9702/12 May/June 2025

13 What is the definition of density? A mass of one cubic metre B mass of a unit volume C mass per cubic metre D mass per unit volume

1 marks

Answer: D

This question in 9702/13 May/June 2025

15 A measuring cylinder contains 80 cm3 of a liquid. The pressure due to the liquid at the 60 cm3 mark is 1200 Pa. What is the pressure due to the liquid at the base of the measuring cylinder? A 1200 Pa B 1600 Pa C 3600 Pa D 4800 Pa

1 marks

Answer: D

This question in 9702/13 May/June 2025

12 A solid metal cuboid of density 2700 kg m–3 has sides of lengths 1.0 m, 2.0 m and 4.0 m. 4.0 m cuboid 1.0 m 2.0 m The cuboid can be placed on a horizontal surface so that it rests on any one of its six faces. What is the largest pressure that the cuboid can exert on the surface due to its weight when it rests on one of its six faces? A 11 kPa B 26 kPa C 53 kPa D 110 kPa

1 marks

Answer: D

This question in 9702/14 May/June 2025

13 A cylindrical iceberg of height H floats in sea water. The top of the iceberg is at height h above the surface of the water. iceberg h H sea water The density of ice is  i and the density of sea water is  w. What is the height h of the iceberg above the sea water?        H A  1 i  H B  i 1  H C w H D i         w w i w

1 marks

Answer: A

This question in 9702/14 May/June 2025

15 A man of weight 600 N stands with both feet flat on the ground. What is a reasonable estimate of the pressure exerted on the ground by the weight of the man? A 1  100 Pa B 1  102 Pa C 1  104 Pa D 1  106 Pa

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2025

16 The formula for the upthrust on a block of wood partially submerged in water is shown. F =  gV What do the symbols  and V represent?  V A density of water volume of whole block B density of water volume of block below surface of water C density of wood volume of whole block D density of wood volume of block below surface of water

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2025

15 The mass and volume of an object are varied. Which two changes, when made together, must increase the density of the object? mass volume A decrease decrease B decrease increase C increase decrease D increase increase

1 marks

Answer: C

This question in 9702/12 Oct/Nov 2025

16 On Earth, a solid object that is fully submerged in a liquid experiences an upthrust UE. On Mars, the same object, fully submerged in the same liquid, experiences an upthrust UM. The acceleration of free fall on Mars is 3.7 m s–2. Assume that the liquid’s density and the object’s volume have the same values on Earth and Mars. U What is the ratio M ? U E A 0.38 B 1.0 C 2.7 D 3.6

1 marks

Answer: A

This question in 9702/12 Oct/Nov 2025

15 A man of weight 600 N stands with both feet flat on the ground. What is a reasonable estimate of the pressure exerted on the ground by the weight of the man? A 1  100 Pa B 1  102 Pa C 1  104 Pa D 1  106 Pa

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2025

16 The formula for the upthrust on a block of wood partially submerged in water is shown. F =  gV What do the symbols  and V represent?  V A density of water volume of whole block B density of water volume of block below surface of water C density of wood volume of whole block D density of wood volume of block below surface of water

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2025

9 A sphere moves vertically downwards at terminal (constant) velocity in a liquid. Which statement about the magnitude of the upthrust acting on the sphere is correct? A It is proportional to the acceleration of free fall. B It is equal to the weight of the sphere. C It is proportional to the density of the sphere. D It is proportional to the square of the radius of the sphere.

1 marks

Answer: A

This question in 9702/14 Oct/Nov 2025

12 The diagram shows a stationary sphere that is just fully submerged in a liquid. The radius of the sphere is r and the density of the liquid is . The acceleration of free fall is g. The air exerts pressure PA on the surface of the liquid. air surface of liquid liquid sphere What is the pressure at the lowest point of the sphere? A PA + 4  r 3  g 3 B PA – 4  r 3  g 3 C 2r g + PA D 2r g – PA

1 marks

Answer: C

This question in 9702/14 Oct/Nov 2025