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AIPMT MAINS2012Physics-Gravitation

AIPMT MAINS 2012 Physics Escape Velocity MCQ Question

Type: MCQ-conceptual-Medium-Class 11

If vₑ is escape velocity and v₀ is orbital velocity of a satellite for orbit close to the earth’s surface, then these are related by:

A

v₀ = √2vₑ

B

v₀ = vₑ

C

vₑ = √2v₀

D

vₑ = √2v₀

Correct Answer

Option D

Detailed Explanation

The escape velocity vₑ is related to the orbital velocity v₀ by the equation vₑ = √2v₀. This is derived from the fact that escape velocity is √2 times the orbital velocity for a circular orbit close to the Earth's surface.

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