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JEE Main 202118 MarchMorning Shift
Exam
JEE Main
Year
2021
Date
18 March
Shift
Morning Shift
Subject
Physics
Chapter
Gravitation

JEE Main 2021 · 18 March · Morning Shift · Physics · Gravitation

The time period of a satellite in a circular orbit of the radius R...

The time period of a satellite in a circular orbit of the radius RR is T.T . The period of another satellite in a circular orbit of the radius 9R9R is:

Options

  1. A9T9T
  2. B27T27T
  3. C12T12T
  4. D3T3T

Correct answer

B. 27T27T

Step-by-step solution

T2∝R3{T}^{2} ∝ {R}^{3}.
(T′T)2=(9RR)3{\left(\dfrac{{T}^{'}}{T}\right)}^{2} = {\left(\dfrac{9R}{R}\right)}^{3}
T2=T2×93{T}^{2} = {T}^{2} \times {9}^{3}
T′=T×33{T}^{'} = T \times {3}^{3}
T′=27T{T}^{'} = 27T
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