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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 km/s, 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
Mass of planet, Mp=10Me, where Me is mass of earth.
Radius of planet, RP=Re10, Where Re is radius of earth.
Escape speed is given by, Ve=2GMeRe=11 km/s
For planet, VP=2G×MPRP=100×2GMeRe
=10×Ve
=10×11=110 Km/s

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