the density of the planet is 1/3 of that of the earth and radius is equal to that of air what will be the time period on the planet if it time period on earth is T ?
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Answer:
Correct option is B)
Case 1: Earth
Radius=r
Mass=M
Density=ρ
∴mg=Gr2mM
mg=r2Gm×34πr3ρ
∴g=34π(Grρ)
Case 2: Other palnet
Radius=1.5r
Density=2ρ
∴mg′=G(1.5r)2mM′
mg′=2.25r2Gm×34π(1.5r)3×2ρ
∴g′=3g
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