# 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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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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Let V and E denote the gravitational potential and gravitational field at a point. It is possible to have:

(a) V = 0 and E = 0

(b) V = 0 and E ≠ 0

(c) V ≠ 0 and E = 0

(d) V ≠ 0 and E ≠ 0

Choose the correct option:

1. (a) and (b)

2. (b) and (c)

3. (c) and (d)

4. All of these

Subtopic:  Gravitational Potential |
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Inside a uniform spherical shell:

 (a) the gravitational potential is zero. (b) the gravitational field is zero. (c) the gravitational potential is the same everywhere. (d) the gravitational field is the same everywhere.

Choose the correct option:

 1 (a), (b) and (c) 2 (b), (c) and (d) 3 (a) and (b) 4 (b) and (c)
Subtopic:  Gravitational Field | Gravitational Potential |
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