Question

If the mass of moon is $ \frac{1}{90} $ of earths mass, its radius is $ \frac{1}{3} $ of earths radius and if $ g $ is acceleration due to gravity on earth, then the acceleration due to gravity on moon is ...... :

• A. $ \frac{g}{3} $
• B. $ \frac{g}{90} $
• C. $ \frac{g}{10} $
• D. $ \frac{g}{9} $
• E. $ \frac{g}{8} $

Answer 1

Answer: (C)

$ {{g}_{m}}=\frac{G\times M/90}{{{(R/3)}^{3}}}=\frac{1}{10}g $