Question

The value of acceleration due to gravity near the earth's surface is

• A. $8.9m/s^2$
• B. $7.9m/s^2$
• C. $9.8m/s^2$
• D. $19.8m/s^2$

Answer 1

The correct option is C $9.8m/s^2$

Acceleration due to gravity at the surface of the earth $=g=\frac{GM}{R^2}$

Where G is gravitational constant $=6.673\times {10}^{-11}N{m}^2/k{g}^2$

M is mass of the earth $=5.972\times {10}^{24}kg$ and

R is radius of the earth $=6.371\times {10}^{6}m$

On putting these values in the above formula, we get

$\Rightarrow g=9.8m/s^2$

Hence correct answer is option $C$