Gravitation Question 50

Question: At what distance from the centre of the earth, the value of acceleration due to gravity g will be half that on the surface (R = radius of earth) [MP PMT 2001]

Options:

A) 2 R

B) R

C) 1.414 R

D) 0.414 R

Show Answer

Answer:

Correct Answer: D

Solution:

$ [g’=g{{\left( \frac{R}{R+h} \right)}^{2}}\Rightarrow \frac{1}{\sqrt{2}}=\frac{R}{R+h}] $

Þ $ [R+h=\sqrt{2}R] $ $ [\Rightarrow h=(\sqrt{2}-1)R=0.414R] $



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