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Q.

The radius in kilometers to which the present radius of the earth (R=6400 km) is to be compressed so that the escape velocity is increases to ten times is 

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a

4800

b

640

c

6.4

d

64

answer is B.

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Detailed Solution

Escape velocity Ve=2gR=2GMR

V1V2=R2R1⇒V100=R26400

1100=R26400

∴R2=64 km

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