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# A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth (mass=5.98×1024kg) have to be compressed to be a black hole?10−9 m10−6 m10−2 m100m

A
109 m
B
106 m
C
100m
D
102 m
Solution
Verified by Toppr

#### For earth to be black hole the escape velocity should be at least equal to speed of light.∴ escape velocity = speed of light√2GMR=CR=2GMC2R=2×6.67×10−11×5.98×10249×1016=8.86×10−3m=10−2m

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