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. 24 R
B. 4 R
C. 49 R
D. 8 R

Answer

b

Explanation

`(g_(h))/(g)=((R)/(R+h))^(2)`
`(4)/(100)=((R)/(R+h))^(2)`
`(2)/(10)=(R)/(R+h)`
`R=h=5R`
`therefore" "h=4R`