If radius of earth shrinks by 1.5% (mass remaining same), then value of acceleration due to gravity

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7.Gravitation

easy

If the radius of the earth shrinks by $1.5\%$ (mass remaining same), then the value of acceleration due to gravity changes by ....... $\%$.

A

$1$

B

$2$

C

$3$

D

$4$

Solution

(c) $g \propto \frac{1}{{{R^2}}}$

Percentage change in $g = 2$(percentage change in $R$) $ = 2 \times 1.5 = – 3\% $

Standard 11

Physics

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