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The radius in kilometers, to which the p...

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

A

6.4

B

64

C

640

D

4800

Text Solution

Verified by Experts

The correct Answer is:
b
`(v_(e_(2)))/(v_(e_(1)))=sqrt((R_(1))/(R_(1)))`
`100=(R_(1))/(R_(2))`
`R_(2)=(R_(1))/(100)=(6400)/(100)=64.`
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