# A person brings a mass of 1 kg from infinity to a point A. Initially, the mass was at rest but it moves at a speed of 2 m s–1 as it reaches A. The work done by the person on the mass is –3 J. The potential at A is: 1. –3 J/kg–1 2. –2 J/kg–1 3. –5 J/kg–1 4. none of these

Subtopic:  Gravitational Potential Energy |
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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:  Gravitational Field |
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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:  Gravitational Field |
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Take the effect of bulging of earth and its rotation in account. Consider the following statements:

 Statement I: There are points outside the earth where the value of g is equal to its value at the equator. Statement II: There are points outside the earth where the values of g is equal to its value at the poles.

 1 Both Statement I and Statement II are correct 2 Statement I is correct but Statement II is wrong 3 Statement II is correct but Statement I is wrong 4 Both Statement I and Statement II are wrong

Subtopic:  Acceleration due to Gravity |
51%
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The time period of an earth satellite in circular orbit is independent of:

 1 the mass of the satellite 2 radius of the orbit 3 none of them 4 both of them
Subtopic:  Satellite |
78%
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The magnitude of gravitational potential energy of the moon-earth system is U with zero potential energy at infinite separation. The kinetic energy of the moon with respect to the earth is K.

1. U < K

2. U > K

3. U = K

4.

Subtopic:  Gravitational Potential Energy |
52%
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The figure shows the elliptical path of a planet about the sun. The two shaded parts have equal area. If $$t_1$$ and $$t_2$$ be the time taken by the planet to go from $$a$$ to $$b$$ and from $$c$$ to $$d$$ respectively, then:

 1 $$t_1t_2$$ 4 insufficient information between $$t_1$$ and $$t_2$$
Subtopic:  Kepler's Laws |
70%
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A person sitting in a chair in a satellite feels weightless because:

 1 the earth does not attract the objects in a satellite. 2 the normal force by the chair on the person balances the earth's attraction. 3 the normal force is zero. 4 the person in the satellite is not accelerated.

Subtopic:  Satellite |
57%
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A body is suspended from a spring balance kept in a satellite. The reading of the balance is W1 when the satellite goes in an orbit of radius R and is W2 when it goes in an orbit of radius 2R.

1. W1 = W2

2. W1 < W2

3. W1 > W2

4. W1 ≠  W2

Subtopic:  Satellite |
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The kinetic energy needed to project a body of mass m from the earth's surface to infinity is

1. $$\frac14$$ mgR

2. $$\frac12$$ mgR

3. mgR

4. 2 mgR

Subtopic:  Escape velocity |
62%
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