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# If mass of earth is 5.98×1024 kg and earth moon distance is 3.8×105 km, the orbital period of moon, in days is8.1 days81 days27 days2.7 days

A
27 days
B
8.1 days
C
2.7 days
D
81 days
Solution
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#### The correct option is A 27 daysM=5.98×1024kgR=3.8×108kmThe orbital time period of moon,T=2π√R3GMT=2×3.14√(3.8)3×10246.67×10−11×5.48×1024T=23.2427×105secIn days,Time period, T=23.2427×10560×60×24dayT=27 daysThe correct option is A.

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