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Question

If the radius of earth shrinks by 2.4% mass remaining same then the acceleration due to gravity would changes to.

A
2.2%
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B
1.2%
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C
4.8%
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D
3.2%
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Solution

The correct option is D 4.8%
g=GMR2
Δgg=2ΔRR [As G, M are constants]
=2×(2.4100)=2×2.4100
So, Δgg×100=4.8100×100=4.8%
Hence, percentage increase in the value of g is 4.8%.

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