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## Physics: Multiple Choice Questions on Gravitation

1.

 The figure shows the elliptical orbit of a planet with the Sun at the focus. The areas of regions 1 and 2 are the same. If the planet takes times t1 to go from one end to the other end of region 1 and t2 to go from one end to the other end of region 2, then what is the relationship between t1 and t2?
 t1 > t2 t1 = t2 Cannot be determined t1 < t2

2.

A satellite orbits at a height h above the Earth's surface. Let R be the Earth's radius. If Ve is the escape velocity and Vo is the orbital velocity of the satellite orbiting at a height h << R, then
 Ve = Vo Vo2 = 2 Ve2 Ve = 2 Vo Ve2 = 2 Vo2

3.

A reference frame attached to the Earth
 cannot be an inertial frame of reference because of the Earth's rotation and revolution. is an inertial frame because Newton's laws of motion are applicable inside it. is an inertial frame by definition. is not an inertial frame because the Earth moves with respect to the Sun.

4.

Two satellites of masses M1 and M2 have escape velocities V1 and V2 from the surface of a planet of radius R with acceleration due to gravity g. Which of the following is true?
 V1 / V2 = M2 / M1 V1 / V2 = M1 / M2 V1 = V2 V1 / V2 = (M2 / M1)2

5.

If the value of gravitational acceleration at a height h above the Earth's surface is the same as that at a depth d below the Earth's surface (with both h and d small compared to the Earth's radius R), then
 h = d / 2 h = d h = 2 d h = d2 / R

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