Weight of a body of mass m decreases by `1%` when it is raised to height h above the earth's surface. If the body is taken on depth h in a mine, change in its weight is

Options

A. decrease by 0.5%
B. decrease by 2%
C. increase by 0.5%
D. increase by 1%

Answer

A

Explanation

`g'=g(1-(2h)/(R)),(Deltag)/(g)=(2h)/(R)`
`1=2(h)/(R)implies(h)/(R)=(1)/(2),g'=g(1-(d)/(R))`
`(Deltag')/(g)=(d)/(R)implies(h)/(R)g` decreases by 0.5%