Question

The value of acceleration due to gravity (g) on earth’s surface is:

• A. $6.67\times {10}^{-11}m{s}^{-2}$
• B. $8.9m{s}^{-2}$
• C. $9.8m{s}^{-2}$
• D. none of these

Answer 1

The correct option is C

$9.8m{s}^{-2}$

Explanation

Step 1: Acceleration due to gravity

Acceleration due to gravity is given as,

$g=\frac{G\times M}{R^2}$

where,

$G=$gravitational constants,$G=6.7\times {10}^{-11}N{m}^2/k{g}^2$

$M=$mass of the earth, $M=6\times {10}^{24}kg$

$R=$radius of the earth, $R=6.4\times {10}^{6}m$

Step 2: Putting the values of $G,M,R$ in equation

$g=\frac{6.7\times {10}^{-11}\times 6\times {10}^{24}}{{(6.4\times {10}^6)}^2}$

$g=9.8m/s^2$

Thus, the value of acceleration due to gravity is $9.8m/s^2.$

Hence, option ‘c’ is correct.