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] $
