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Question: The fractional change in the value of free-fall acceleration 'g' for a particle when it is lifted fr...

The fractional change in the value of free-fall acceleration 'g' for a particle when it is lifted from the surface to an elevation h (h<<R) is

A

hR\frac { \mathrm { h } } { \mathrm { R } }

B

C

D

None of these.

Answer

Explanation

Solution

putting dR = h we orbit

\Rightarrow dgh=2GMR21R\frac { d g } { h } = \frac { - 2 G M } { R ^ { 2 } } \frac { 1 } { R } \Rightarrow