GravitationHard

Question

The escape velocity from the earth is 11.2 km/sec. The escape velocity from a planthaving twice the radius and the same mean density as the earth,is

Options

A.11.2km/sec
B.22.4 km/sec
C.15.00 km/sec
D.5.8km/sec

Solution

for escape velocity the formula is,
ve =
[ρ is desinty of the planet, R is radius.]
=
ve = R
ve ∝ R
If radius becomes twice ve will also become twice. So new escape velocity
= 2 × 11.2 = 22.4km/ sec

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