A man weighs 'W' on the surface of the earth and his weight at a height 'R' from surface of the earth is (`R` is Radius of the earth )

Options

A. `W'=(W)/(2)`
B. `W'=(W)/(3)`
C. `W'=(W)/(4)`
D. `W' = 2W`

Answer

C

Explanation

`(W')/(W)=(mg')/(mg)=(R^(2))/((R+h)^(2))=(R^(2))/(4R^(2))=(1)/(4)`
`therefore W'=(W)/(4)`