Gravitation Question 37

Question: 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}},Nm^{2}/kg^{2})] $ [AFMC 1998]

Options:

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] $

Show Answer

Answer:

Correct Answer: B

Solution:

$ [g=\frac{GM}{R^{2}}] $

Þ $ [R=\sqrt{\frac{GM}{g}}] $

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



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