Question

At a height equal to earth's radius, above the earth's surface, the acceleration due to gravity is

• A. g
• B. $\frac{g}{2}$
• C. $\frac{g}{4}$
• D. $\frac{g}{8}$

Answer 1

The correct option is C $\frac{g}{4}$

Acceleration due to gravity = $g=\frac{G{M}_{earth}}{R^2}$, $R$ = distance from the centre of the earth.

At a height = R above earth's surface $g=\frac{G{M}_{earth}}{(R+R{)}^2}=\frac{G{M}_{earth}}{4R^2}=\frac{g}{4}$ Option C.