STANDARDPhysics-Gravitation

STANDARD Physics Satellite Motion MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A geostationary satellite is orbiting the Earth at a height 6R above the surface of Earth, where R is the radius of the Earth. The time period of another satellite at a height of 2.5 R from the surface of Earth in hours is

A

3√2h

B

1.5√2h

C

6√2h

D

12√2h

Correct Answer

Option C

Detailed Explanation

The time period of a satellite is proportional to the 3/2 power of its orbital radius. Given the orbital radius of the first satellite as 7R and the second as 3.5R, the time period of the second satellite is calculated using the ratio of the radii raised to the 3/2 power, resulting in 6√2h.

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