Physicshard · Past Paper
If the Earth's radius shrinks by 1% while its mass remains constant, the value of 'g' on its surface would:
ADecrease by 1%
BIncrease by 1%
CIncrease by 2%
DDecrease by 2%
✓ Correct Answer: C — Increase by 2%
Using the relation g = GM/R^2, for small changes, dg/g = -2dR/R. A 1% decrease in R leads to a 2% increase in g.
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