Q. 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
A) 1 : 2
B) 2 : 3
C) 2 : 1
D) 4 : 1
Explanation
(c) $g = \frac{4}{3}G\pi R\rho \Rightarrow \frac{g_{1}}{g_{2}} = \frac{\rho_{1}R_{1}}{\rho_{2}R_{2}} = \frac{1}{2} \times \frac{4}{1} = \frac{2}{1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.