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The escape Velocity from the earth is 11...

The escape Velocity from the earth is `11.2 Km//s`. The escape Velocity from a planet having twice the radius and the same mean density as the earth, is :

A

`22 km//s`

B

`11 km//s`

C

`5.5 km//s`

D

`15.5 km//s`

Text Solution

Verified by Experts

The correct Answer is:
A
`v_(e)=sqrt((GM)/R)=sqrt((G rho.4/3piR^(3))/R)=sqrt(4/3piPGR^(2)) implies v prop R`
`(v_(p))/(v_(e))=(2R)/R=2 implies v_(p)=2v_(e)=2xx11=22 km//s`
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