JEE Mains · Physics · STD 11 - 7. gravitation
If the radius of earth shrinks by \(2 \%\) while its mass remains same. The acceleration due to gravity on the earth's surface will approximately.
- A decrease by \(2 \%\)
- B decrease by \(4 \%\)
- C increase by \(2 \%\)
- D increase by \(4 \%\)
Answer & Solution
Correct Answer
(D) increase by \(4 \%\)
Step-by-step Solution
Detailed explanation
\(g=\frac{G M}{R^{2}}\) \(M =\) constant \(g<\frac{1}{ R ^{2}}\) \(100 \frac{\Delta g}{g}=-2 \frac{\Delta R}{R} 100\) \(\%\) change \(=-2(-2)\) \(\%\) change in \(g =4 \%\) increase by \(4 \%\)
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