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JEE Main 202127 JulyEvening Shift
Exam
JEE Main
Year
2021
Date
27 July
Shift
Evening Shift
Subject
Physics
Chapter
Gravitation

JEE Main 2021 · 27 July · Evening Shift · Physics · Gravitation

The planet Mars has two moons, if one of them has a period 7 hours,...

The planet Mars has two moons, if one of them has a period 77 hours, 3030 minutes and an orbital radius of 9.0×103km.9 . 0 \times {10}^{3}km . Find the mass of Mars.
\left\{\right) Given \left\dfrac{4{\pi}^{2}}{G} = 6 \times {10}^{11}{N}^{- 1}{m}^{- 2}{kg}^{2}\right\}

Options

  1. A5.96×1019kg5 . 96 \times {10}^{19}kg
  2. B3.25×1021kg3 . 25 \times {10}^{21}kg
  3. C7.02×1025kg7 . 02 \times {10}^{25}kg
  4. D6.00×1023kg6 . 00 \times {10}^{23}kg

Correct answer

D. 6.00×1023kg6 . 00 \times {10}^{23}kg

Step-by-step solution

Option DD is correct.

T2=4π2GM⋅r3{T}^{2} = \dfrac{4{\pi}^{2}}{GM} \cdot {r}^{3}

M=4π2G⋅r3T2M = \dfrac{4{\pi}^{2}}{G} \cdot \dfrac{{r}^{3}}{{T}^{2}}

By putting values

M=6×1023M = 6 \times {10}^{23}

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