Gravitation Question 26

Question: The diameters of two planets are in the ratio 4 : 1 and their mean densities in the ratio 1 : 2. The acceleration due to gravity on the planets will be in ratio[ISM Dhanbad 1994]

Options:

A) 1 : 2

B) 2 : 3

C) 2 : 1

D) 4 : 1

Show Answer

Answer:

Correct Answer: C

Solution:

$ [g=\frac{4}{3}G\pi R\rho ] $

$ [\Rightarrow ,\frac{g_{1}}{g_{2}}=\frac{{\rho_{1}}R_{1}}{{\rho_{2}}R_{2}}] $

$ [=\frac{1}{2}\times \frac{4}{1}=\frac{2}{1}] $



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