Mass of moon is 7.34 × {10^{22}},kg . If acceleration due to gravity on moon is 1.4,m/{s^2} , radiu

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7.Gravitation

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Mass of moon is $7.34 \times {10^{22}}\,kg$. If the acceleration due to gravity on the moon is $1.4\,m/{s^2}$, the radius of the moon is $(G = 6.667 \times {10^{ - 11}}\,N{m^2}/k{g^2})$

A

$0.56 \times {10^4}\,m$

B

$1.87 \times {10^6}\,m$

C

$1.92 \times {10^6}\,m$

D

$1.01 \times {10^8}\,m$

Solution

(b) $g = \frac{{GM}}{{{R^2}}}$ $⇒$ $R = \sqrt {\frac{{GM}}{g}} $

Substituting the above values we get $R = 1.87 \times {10^6}m.$

Standard 11

Physics

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