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JEE Main 202117 MarchEvening Shift
Exam
JEE Main
Year
2021
Date
17 March
Shift
Evening Shift
Subject
Physics
Chapter
Gravitation

JEE Main 2021 · 17 March · Evening Shift · Physics · Gravitation

A geostationary satellite is orbiting around an arbitrary planet P...

A geostationary satellite is orbiting around an arbitrary planet PP at a height of 11R11R above the surface of PP, RR being the radius of PP. The time period of another satellite in hours at a height of 2R2R from the surface of PP is ________ has the time period of 24hours.24hours .

Options

  1. A626\sqrt{2}
  2. B62\dfrac{6}{\sqrt{2}}
  3. C33
  4. D55

Correct answer

C. 33

Step-by-step solution

T∝R3/2T ∝ {R}^{3 / 2}

24T=(12R3R)3/2⇒T=3hr\dfrac{24}{T} = {\left(\dfrac{12R}{3R}\right)}^{3 / 2} ⇒ T = 3hr

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