STANDARDPhysics-Gravitation

STANDARD Physics Energy of Satellite MCQ Question

Type: MCQ-numerical-Medium-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/R₁ - 1/R₂)

B

GmM (1/R₁ - 1/R₂)

C

2GmM (1/R₁ - 1/R₂)

D

1/2 GmM (1/R₁ - 1/R₂)

Correct Answer

Option A

Detailed Explanation

The total energy of the orbiting satellite is E = -GMm/2r. The additional kinetic energy required is the difference in energy between the two orbits, K = E₁ - E₂ = GmM (1/R₁ - 1/R₂).

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