First slide

Variation of g

Question

The acceleration of a body due to the attraction of the earth (radius R) at a distance 2R from the surface of the earth is (g = acceleration due to gravity at the surface of the earth)

Moderate

A

$\frac{g}{9}$
B

$\frac{g}{3}$
C

$\frac{g}{4}$
D

g

Solution

$\frac{g^{'}}{g} = {(\frac{R}{R + h})}^{2} = {(\frac{R}{R + 2 R})}^{2} = \frac{1}{9} ∴ g^{'} = \frac{g}{9}$

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