Gravitation Question 27

Question: At what altitude in metre will the acceleration due to gravity be 25% of that at the earth’s surface (Radius of earth = R metre)[ISM Dhanbad 1994]

Options:

A) $ [\frac{1}{4}R] $

B) R

C) $ [\frac{3}{8}R] $

D) $ [\frac{R}{2}] $

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Answer:

Correct Answer: B

Solution:

$ [g’=g{{\left( \frac{R}{R+h} \right)}^{2}}] $

Þ $ [\frac{g}{4}=g{{\left( \frac{R}{R+h} \right)}^{2}}] $

Þ $ [\frac{1}{2}=\frac{R}{R+h}] $ Þ$ [R+h=2R] $ \ $ [h=R] $



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