COMEDK · Physics · 9. Gravitation
If the earth shrinks in its size (radius) mass remaining the same, the value of \(g\) on its surface will
- A increase
- B decrease
- C remains same
- D reduce to zero
Answer & Solution
Correct Answer
(A) increase
Step-by-step Solution
Detailed explanation
The acceleration due to gravity at earth's surface is given by \(g=\frac{G M}{R^{2}}\) As, mass remains constant. \(\Rightarrow \quad g \propto \frac{1}{R^{2}}\) so, as the radius of earth decreases or the earth shrinks in size, the value of \(g\) increases.
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