If the acceleration due to gravity at a height 'h' from the surface of the Earth is 96% less than its value on the surface, then h = ____R where R is the radius of the Earth.

Options

A. 1
B. 2
C. 3
D. 4

Answer

D

Explanation

Given, `g_(h) = g - 96% "of" g = (4g)/(100)=(g)/(25)`
Also `g_(h) = g((R)/(R + h))^(2) rArr (g)/(25) = g((R)/(R + h))^(2) rArr h = 4R`