Q.

A mass of 6×1024kg is to be compressed in a sphere in such a way that the escape velocity from the sphere is 3×108m /s. Radius of the sphere should be (G=6.67×10−11N−m2/kg2)

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a

9 km

b

9 m

c

9 cm

d

9 mm

answer is D.

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Detailed Solution

ve=2GMR=2×6.67×10−11×6×1024RBy solving R = 9 mm

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A mass of 6×1024kg is to be compressed in a sphere in such a way that the escape velocity from the sphere is 3×108m /s. Radius of the sphere should be (G=6.67×10−11N−m2/kg2)