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Q.

Gravitational acceleration on the surface of a planet is 611g , where g is acceleration due to gravity on the surface of earth. The average mass density of the planet is 23 times that of the earth. If the escape speed on the surface of the earth is 11 kms–1, the escape speed on the surface of that planet is ____ kms–1

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answer is 3.

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Detailed Solution

Let the gravitational acceleration on the surface be g' and density be ρ' g'g=611;ρ'ρ=23  Hence, R'R=3622 vesc'vesc∝R'2ρ'R2ρ=311 vesc'=3 km/s
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Gravitational acceleration on the surface of a planet is 611g , where g is acceleration due to gravity on the surface of earth. The average mass density of the planet is 23 times that of the earth. If the escape speed on the surface of the earth is 11 kms–1, the escape speed on the surface of that planet is ____ kms–1