Gravitation

JEE Main level, single correct, medium

214 of 223

Question 214 of 223

A satellite is launched into a circular orbit of radius RR around earth, while a second satellite is launched into a circular orbit of radius 1.02R.1.02R. The percentage difference in the time periods of the two satellites is:

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Answer: (D) 3.03.0

T2∝R3{T}^{2}\propto {R}^{3}
T=kR3/2T=k{R}^{3/2}
dTT=32dRR\dfrac{dT}{T}=\dfrac{3}{2}\dfrac{dR}{R}
=32×0.02=0.03=\dfrac{3}{2}\times 0.02=0.03
%Change =3=3%

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