What is the fractional decrease in the value of free fall acceleration g for a particle when it is lifted from the surface to an elevation h? (h ≪ R)

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-hR

-2hR

-3hR

-4hR

answer is B.

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Detailed Solution

We know that, g = GMR2 ⇒ dgdR = -2GMR3⇒ dgdR = -2GMR2 . 1R⇒ dgg = -2 hR (∵ dR = h)

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