If a person goes to a height equal to radius of Earth from its surface. What would be its weight relative to that on the Earth.

Options

A. `1/2`
B. `1/3`
C. `1/4`
D. `1/5`

Answer

C

Explanation

At the surface of the earth, the weight of the person.
`W=mgimplies(mGM)/(R^(2))`
At a height h
weight `W.=mg.implies(mGM)/((R+h)^(2))`
`:.(W.)/W=(R^(2))/((R+h)^(2))`
When `h=R,(W.)/W=(R^(2))/(2R)^(2))=1/4`
So weight becomes one forth.