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}] $
