Question:
If the radius of the earth were to shrink by one per cent, its mass remaining the same, the value of \(g\) on the earth's surface would
If the radius of the earth were to shrink by one per cent, its mass remaining the same, the value of \(g\) on the earth's surface would
Updated On: Jan 30, 2025
- increase by 0.5%
- increase by 2%
- decrease by 0.5%
- decrease by 2%
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The Correct Option is B
Solution and Explanation
$g = \frac{GM}{R^{2}} \Rightarrow \frac{dg}{g} = - 2 \frac{dR}{R} $
$ \frac{dR}{R}= - 1 \% \Rightarrow \frac{dg}{g} =2 \%$
$ \frac{dR}{R}= - 1 \% \Rightarrow \frac{dg}{g} =2 \%$
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