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.] $
