Gravitation Question 47

Question: If the mass of earth is 80 times of that of a planet and diameter is double that of planet and ?g? on earth is $ [9.8m/s^{2}] $ , then the value of ?g? on that planet is [Pb. PMT 1999; CPMT 2000]

Options:

A) $ [4.9m/s^{2}] $

B) $ [0.98m/s^{2}] $

C) $ [0.49m/s^{2}] $

D) $ [49m/s^{2}] $

Show Answer

Answer:

Correct Answer: C

Solution:

$ [g_{p}=g_{e}\left( \frac{M_{p}}{M_{e}} \right){{\left( \frac{R_{e}}{R_{p}} \right)}^{2}}=9.8\left( \frac{1}{80} \right){{(2)}^{2}}] $ $ [=9.8/20=0.49m/s^{2}] $



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