The value of gravitational accelerationg at a height h above the earth's surface is 0ne forth the value of gravitational acceleration at surface ,then (R = radius of earth)

Options

A. `h=R`
B. `h=(R )/(2)`
C. `h=(R )/(3)`
D. `h=(R )/(4)`

Answer

A

Explanation

Accroding to equation
The value of acceleration due to gravity g at a height h is given by
`g'g(R_(e))/(R_(e)+h)^(2)` [symbols have their usual menaing ]
when `g'=(g)/(4)`
so `(g)/(4)=g(R_(e))/(R_(e)+h)^(2) rarr 1/2=(R_(e))/(R_(e)+h)rarr2R_(e )=R_(e )+h`
`rarr R_(e )=h`