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Q.

If a planet of mass 6.4 x1023 kg can be compressed in to a sphere such that the escape velocity from its surface is 8 x 104 m / s, then the radius of the sphere in km is

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answer is 13.

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Detailed Solution

Ve=2GMR 8×104=2×6.4×1023×6.6×10-11R

R=13.2 km

 

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If a planet of mass 6.4 x1023 kg can be compressed in to a sphere such that the escape velocity from its surface is 8 x 104 m / s, then the radius of the sphere in km is