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PHYSICS WORKSHEET Grade - 10

PRESSURE & BUOYANCY Buoyancy

1. Two solid objects are in equilibrium in a container filled with water. The magnitudes of the tensions in the ropes are equal. The density of solid object K is greater than the density of solid object L.

Read the following statements. If the statement is CORRECT print "C", or if it is WRONG then print "W". You have to correct the wrong statements by using an appropriate word(s) or phrase(s).

____ The volume of solid object K is smaller than the volume of solid object L.

____ The mass of solid object K is smaller than the mass of solid object L.

____ The magnitude of the buoyant force on solid object K is equal to the magnitude of the buoyant force on solid object L.

2. Solid object K is in equilibrium in two immiscible liquids, X and Y, as shown in the figure.

If liquid X were removed from the container and another liquid that is denser than liquid Y was added to the container, how would be the final equilibrium condition of solid object K in the liquids? Draw a figure and explain.

3. When object K is tied to the bottom of a container that is filled with water, the tension in the rope is nonzero. Some alcohol is added to the container to obtain alcohol-water homogenous mixture. (The density of alcohol is smaller than the density of water.)

Read the following statements. If the statement is CORRECT print "C", or if it is WRONG then print "W". You have to correct the wrong statements by using an appropriate word(s) or phrase(s).

____ The magnitude of the tension in the rope increases.

____ The magnitude of the buoyant force acting on object K decreases.

____ The weight of object K in liquid increases.

4. The volumes of solid object K and L are equal and they are in equilibrium in a liquid as shown in the figure.

Read the following statements. If the statement is CORRECT print "C", or if it is WRONG then print "W". You have to correct the wrong statements by using an appropriate word(s) or phrase(s).

____ The weight of liquid displaced by object K is equal to the weight of liquid displaced by object L.

____ The magnitude of the buoyant force on object L is greater than the magnitude of the buoyant force on object K.

____ The mass of object K is smaller than the mass of object L.

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5. The divisions of solid objects K and L are equal in volume. They are in equilibrium in a liquid as shown in the figure. The density of the liquid is "d".

How would be the equilibrium condition of solid object L in the same liquid? 6. Solid objects K and L are identical and the divisions of K and L are equal in volume. The densities of solid objects are "2d" and the density of the liquid is "3d". The magnitudes of the tension in the ropes are "T1" and "T2". Solid objects K and L are in equilibrium as shown in the figure.

What is the ratio of "T1" to "T2"?

7. The radii of solid spheres K and L are "r" and "2r" respectively. They are in equilibrium in a liquid as shown in the figure. The magnitude of the buoyant force acting on sphere K is "F".

What is the magnitude of the buoyant force acting on sphere L in terms of "F"? 8. The divisions of solid objects X and Y are equal in volume. They are in equilibrium in a liquid as shown in the figure. The density of solid object X is "dX" and the density of solid object Y is "dY ".

What is the ratio of "dX" to "dY"?

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9. Three different equilibrium conditions of the same object are given in the figure. The magnitudes of the forces measured by the dynamometers are 12 N, 8 N and 7 N respectively. The density of water is 1 g/cm3.

What is the density of the liquid in g/cm3? 10. The divisions of solid object are equal in volume. It is in equilibrium in liquid X and the homogenous mixture of liquids X and Y. The homogenous mixture of liquids X and Y is obtained when equal volumes of them are mixed. The density of solid object is "2d".

What are the densities of liquids X and Y in terms of "d"?

11. The volumes of solid objects K and L are equal. The mass of solid object X is greater than the mass of solid object Y. Objects are in equilibrium in a liquid as shown in the figure.

Read the following statements. If the statement is CORRECT print "C", or if it is WRONG then print "W". You have to correct the wrong statements by using an appropriate word(s) or phrase(s).

____ The magnitude of the buoyant force on K is equal to the magnitude of the buoyant force on L.

____ The density of K is smaller than the density of object L.

____ If X was placed on L and Y was placed on K, the volume of submerged part of K would remain the same.

12. Solid object K is in equilibrium in two immiscible liquids, X and Y, having equal volumes as shown in the figure. The divisions of K are equal in volume. The densities of liquids X and Y are "2d" and "5d" respectively.

If X and Y were miscible liquids, how would be the equilibrium condition of object K in the mixture? Draw a figure and explain.

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13. Solid object K is in equilibrium in two immiscible liquids, X and Y, as shown in the figure. The divisions of K are equal in volume. The liquid pressure at point B is 4 times the liquid pressure at point A. The densities of liquid X and object K are "dX" and "dK".

What is the ratio of "dX" to "dK"? 14. Solid objects K and L are in equilibrium in a liquid as shown in the figure. The divisions of the objects are equal in volume.

Read the following statements. If the statement is CORRECT print "C", or if it is WRONG then print "W". You have to correct the wrong statements by using an appropriate word(s) or phrase(s).

____ The magnitude of the buoyant force on K is smaller than the magnitude of the buoyant force on L.

____ The density of L is smaller than the density of K.

____ The mass of K is equal to the mass of L.

15. When two solid objects X and Y are dropped into water, X floats partially and Y sinks in the liquid. Read the following statements. If the statement is CORRECT print "C", or if it is WRONG then print "W". You have to correct the wrong statements by using an appropriate word(s) or phrase(s).

____ The magnitude of the buoyant force applied on X is greater than the magnitude of the weight of X.

____ The magnitude of the buoyant force applied on Y is smaller than the magnitude of the weight of Y.

____ After Y settles on the bottom of the container, the buoyant force applied on Y becomes zero.

16. Solid object K is in equilibrium in a liquid as shown in the figure. The magnitude of the force to immerse object K completely is 1,5 times the magnitude of the weight of object K.

What is the ratio of "h1" to "h2"?