# 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 |
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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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A particle is kept at rest at a distance R (earth's radius) above the earth's surface. The minimum speed with which it should be projected so that it does not return is

1. $$\sqrt\frac{GM}{4R}$$

2. $$\sqrt\frac{GM}{2R}$$

3. $$\sqrt\frac{GM}{R}$$

4. $$\sqrt\frac{2GM}{R}$$

Subtopic:  Escape velocity |
50%
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A satellite is orbiting the earth close to its surface. A particle is to be projected from the satellite to just escape from the earth. The escape speed from the earth is ve. Its speed with respect to the satellite

1. will be less than ve

2. will be more than ve

3. will be equal to ve

4. will depend on direction of projection

Subtopic:  Escape velocity |
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