Gujarati
Hindi
7.Gravitation
hard

At what height above the earth’s surface does the acceleration due to gravity fall to $1\%$ of its value at the earth’s surface ?

A

$9\,R$

B

$10\,R$

C

$99\,R$

D

$100\,R$

Solution

Given $:$ $g_{h}=1 \% g_{s}=0.01 g_{s}$

Using $g_{h}=g_{s}\left(\frac{R}{R+h}\right)^{2}$

Or $\quad 0.01 g_{s}=g_{s}\left(\frac{R}{R+h}\right)^{2}$

or $\quad 0.1=\frac{R}{R+h}$

or $\quad 0.1 R+0.1 h=R$

$\Longrightarrow h=9 R$

Standard 11
Physics

Similar Questions

Start a Free Trial Now

Confusing about what to choose? Our team will schedule a demo shortly.