Q. Satellite $A$ and $B$ are revolving around the orbit of earth. The mass of $A$ is 10 times of $mass\ of\ B.The\ ratio\ of\ time\ period\ \left( \frac{T_{A}}{T_{B}} \right)is\ $

A) 10
B) 1
C) $\frac{1}{5}$
D) $\frac{1}{10}$
Explanation

(b) Time period of satellite
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ T = 2\pi\sqrt{\frac{(R_{e} + h)^{2}}{gR_{e}^{2}}}$
$Where,\ \ R_{e} = Radius\ of\ earth,$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ h = Height\ from\ earth\ surface\ .$
Time period not depend on mass. So, time period of both satellite will be equal.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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