TS EAMCET · Physics · Gravitation
If the radius of the earth shrinks by \(1 \%\), its mass remaining the same, then the acceleration due to gravity on the earth surface would
- A increase by \(1 \%\)
- B remain unchanged
- C increase by \(2 \%\)
- D decrease by \(9.8 \%\)
Answer & Solution
Correct Answer
(C) increase by \(2 \%\)
Step-by-step Solution
Detailed explanation
Acceleration due to gravity, \(g_1=\frac{G M}{R_1^2}\) As, \(M\) remain constant and \(R\) becomes \(R_2=R_1-1 \% \text { of } R_1=R_1-\frac{R_1}{100}=\frac{99}{100} R_1\) Therefore, the new gravitational acceleration becomes,…
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