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Q.

The escape velocity of an object from the earth depends upon the mass of the earth (M), its mean density  (ρ), its radius (R) and the gravitational constant (G). Thus the formula for escape velocity is

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a

v=R8π3Gρ

b

v=M8π3GR

c

v=2GMR

d

v=2GMR2

answer is A.

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Detailed Solution

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Ve=2GMR=2Gρ43πR3R=R8π3Gρ

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