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JEE Main 202120 JulyEvening Shift
Exam
JEE Main
Year
2021
Date
20 July
Shift
Evening Shift
Subject
Physics
Chapter
Gravitation

JEE Main 2021 · 20 July · Evening Shift · Physics · Gravitation

A satellite is launched into a circular orbit of radius R around...

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:

Options

  1. A1.51 . 5
  2. B2.02 . 0
  3. C0.70 . 7
  4. D3.03 . 0

Correct answer

D. 3.03 . 0

Step-by-step solution

T2∝R3{T}^{2} ∝ {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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