AIPMT MAINS2010Physics-Gravitation

AIPMT MAINS 2010 Physics Satellite Motion MCQ Question

Type: MCQ-numerical-Hard-Class 11

The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of radius R₁ to another of radius R₂ (R₂ > R₁) is

A

GmM [1/R₁² - 1/R₂²]

B

GmM [1/R₁ - 1/R₂]

C

2GmM [1/R₁ - 1/R₂]

D

1/2 GmM [1/R₁ - 1/R₂]

Correct Answer

Option D

Detailed Explanation

The change in kinetic energy is given by the difference in gravitational potential energy between the two orbits. The formula is derived from the vis-viva equation.

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