Q. The distance of neptune and saturn from sun are nearly $10^{13}$ and $10^{12}m$ respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio
A) $\sqrt{10}$
B) 100
C) $10\sqrt{10}$
D) $1/\sqrt{10}$
Explanation
(c) $\frac{T_{1}}{T_{2}} = \left( \frac{R_{1}}{R_{2}} \right)^{3/2} = \left( \frac{10^{13}}{10^{12}} \right)^{3/2} = (1000)^{1/2} = 10\sqrt{10}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.