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Question

A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is 11 kms−1, the escape velocity from the surface of the planet would be

A
1.1 km/s
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B
11 km/s
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C
110 km/s
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D
0.11 km/s
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Solution

The correct option is C 110 km/s

Escape velocity - Minimum velocity which is required to escape the body from earth's gravitational pull wherein it is independent of the mass and direction of projection of body.

Ve=2GMR = 11km/s for earth

Mass of the planet = $10M_e$

The radius of the planet=R10

Ve=  2GM×10R10

= 10X11=110km/s


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