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 is
8.1 days
81 days
27 days
2.7 days
A
8.1 days
B
81 days
C
27 days
D
2.7 days
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Solution
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The correct option is A 27 days M=5.98×1024kg
R=3.8×108km
The orbital time period of moon,
T=2π√R3GM
T=2×3.14√(3.8)3×10246.67×10−11×5.48×1024
T=23.2427×105sec
In days,
Time period, T=23.2427×10560×60×24day
T=27days
The correct option is A.
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