A planet reduces its radius by 1% with its mass remaining same. H… - Vidyadip

Question

A planet reduces its radius by 1% with its mass remaining same. How acceleration due to gravity varies?

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Answer

When mass is same, $\text{g}\propto\frac{1}{\text{R}^2}.$

$\therefore\frac{\Delta\text{g}}{\text{g}}=2\frac{\Delta\text{R}}{\text{R}}$

% variation of g is 2%.

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