Verified Solution • 2025–26 Session moderate

QJEEM21Ph04ff: JEE Main 2021 Physics - Class 11 JEEM21Ph04ff Solution: The planet Mars has two moons, if one of them has a period 7…

The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of 9.0 ×\times 103 km. Find the mass of Mars.

{Given 4π2G=6×1011N−1m−2kg2}\left\{ {Given\,{{4{\pi ^2}} \over G} = 6 \times {{10}^{11}}{N^{ - 1}}{m^{ - 2}}k{g^2}} \right\}

Multiple Choice Options

  • A 5.96 ×\times 1019 kg
  • B 3.25 ×\times 1021 kg
  • C 7.02 ×\times 1025 kg
  • D 6.00 ×\times 1023 kg

Step-by-Step Verified Solution

Option D is correct.

T2=4π2GM.r3{T^2} = {{4{\pi ^2}} \over {GM}}.{r^3}

M=4π2G.r3T2M = {{4{\pi ^2}} \over G}.{{{r^3}} \over {{T^2}}}

by putting values

M=6×1023M = 6 \times {10^{23}}

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