# Let V and E represent the gravitational potential and field at a distance r from the centre of a uniform solid sphere. Consider the two statements: (A): The plot of V against r is discontinuous. (B): The plot of E against r is discontinuous.   1. Both A and B are correct 2. A is correct but B is wrong 3. B is correct but A is wrong 4. Both A and B are wrong

Subtopic: Â Gravitational Field |
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Let $$V$$ and $$E$$ be the gravitational potential and gravitational field at a distance $$r$$ from the centre of a uniform spherical shell. Consider the following two statements:

 (A) The plot of $$V$$ against $$r$$ is discontinuous. (B) The plot of $$E$$ against $$r$$ is discontinuous.

 1 Both (A) and (B) are correct. 2 (A) is correct but (B) is wrong. 3 (B) is correct but (A) is wrong. 4 Both (A) and (B) are wrong.
Subtopic: Â Gravitational Field |
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Given below are two statements:
 Assertion (A): An astronaut in an orbiting space station above the Earth experiences weightlessness. Reason (R): An object moving around the earth under the influence of the earth's gravitational forces is in a state of 'free fall'.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.

Subtopic: Â Satellite |
Â 65%
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Given below are two statements:
 Assertion (A): The satellites equipped with electronic devices are called active satellites. Reason (R): Passive satellite works as active satellite.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 (A) is false but (R) is true.

Subtopic: Â Satellite |
Â 58%
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Given below are two statements:
 Assertion (A): A satellite moving in a circular orbit around the earth has a total energy $$E_0,$$ then its potential energy is $$-E_0.$$ Reason (R): Potential energy of the body at a point in a gravitational field of orbit is $$\frac{-GMm}{R}$$.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 (A) is false but (R) is true.
Subtopic: Â Gravitational Potential Energy |
Â 75%
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Given below are two statements:
 Assertion (A): There is no effect of rotation of earth on acceleration due to gravity at poles. Reason (R): Rotation of earth is about the polar axis.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.

Subtopic: Â Acceleration due to Gravity |
Â 63%
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Given below are two statements:
 Assertion (A): A tennis ball bounces higher on hills than on plains. Reason (R): Acceleration due to gravity on the hill is greater than that on the surface of the earth.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.

Subtopic: Â Acceleration due to Gravity |
Â 59%
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 Assertion (A): The orbit of a satellite is within the gravitational field of earth whereas escaping is beyond the gravitational field of earth. Reason (R): The orbital velocity of a satellite is greater than its escape velocity.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.

Subtopic: Â Orbital velocity |
Â 80%
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Given below are two statements:

 Assertion (A): Generally the path of a projectile from the Earth is parabolic but it is elliptical for a projectile going to a very great height. Reason (R): At the ordinary height, the projectile moves under a uniform gravitational force, but for great heights, the projectile moves under a variable force.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.

Subtopic: Â Acceleration due to Gravity |
Â 78%
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Given below are two statements:
 Assertion (A): The angular velocity of a planet orbiting around the sun increases when it is nearest to the sun. Reason (R): Angular momentum of a body is proportional to angular velocity.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.

Subtopic: Â Kepler's Laws |
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