The mass of earth is 80 times that of moon and its diameter is double that of moon- If the value of acceleration due to gravity on earth is 9-8 m-s-2- then the value of acceleration due to gravity on moon will be0-98 ms-2-0-49 ms-2-9-8 ms-2-4-9 ms-2-

Question

Toppr Admin · Accepted Answer

The correct option is B 0-49-xA0-ms-x2212-2g-GMR29-8-GMR2g-x2032-GM-xD7-480-xD7-R2-GMR2-xD7-120-9-820g-x2032-0-49-xA0-ms-x2212-2-

The mass of earth is $80$ times that of moon and its diameter is double that of moon. If the value of acceleration due to gravity on earth is $9.8 m / s^{2}$ , then the value of acceleration due to gravity on moon will be
$0.98 m s^{- 2}$
$0.49 m s^{- 2}$
$9.8 m s^{- 2}$
$4.9 m s^{- 2}$

The correct option is B $0.49 m s^{- 2}$
$g = \frac{G M}{R^{2}}$
$9.8 = \frac{G M}{R^{2}}$
$g^{'} = \frac{G M \times 4}{80 \times R^{2}}$
$= \frac{G M}{R^{2}} \times \frac{1}{20}$
$= \frac{9.8}{20}$
$g^{'} = 0.49 m s^{- 2}$ .

The mass of earth is 80 times that of moon and its diameter is double that of moon. If the value of acceleration due to gravity on earth is 9.8m/s2, then the value of acceleration due to gravity on moon will be0.98 ms−20.49 ms−29.8 ms−24.9 ms−2

The correct option is B 0.49 ms−2g=GMR29.8=GMR2g′=GM×480×R2=GMR2×120=9.820g′=0.49 ms−2.

The mass of earth is $80$ times that of moon and its diameter is double that of moon. If the value of acceleration due to gravity on earth is $9.8 m / s^{2}$ , then the value of acceleration due to gravity on moon will be
$0.98 m s^{- 2}$
$0.49 m s^{- 2}$
$9.8 m s^{- 2}$
$4.9 m s^{- 2}$

The correct option is B $0.49 m s^{- 2}$
$g = \frac{G M}{R^{2}}$
$9.8 = \frac{G M}{R^{2}}$
$g^{'} = \frac{G M \times 4}{80 \times R^{2}}$
$= \frac{G M}{R^{2}} \times \frac{1}{20}$
$= \frac{9.8}{20}$
$g^{'} = 0.49 m s^{- 2}$ .