The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of \(9.0 \times\) \(10^3 km\). Find the mass of Mars. (\(\text{Given }\frac{4{\pi }^{2}}{G}=6\times {10}^{11}{N}^{-1}{m}^{-2}k{g}^{2}\))

[JEE Main 2021, 27 Jul (Shift 2)]

Question

The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of \(9.0 \times\) \(10^3 km\). Find the mass of Mars. (\(\text{Given }\frac{4{\pi }^{2}}{G}=6\times {10}^{11}{N}^{-1}{m}^{-2}k{g}^{2}\))

[JEE Main 2021, 27 Jul (Shift 2)]

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