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A mass of 6xx10^(24) kg is to be compres...

A mass of `6xx10^(24) kg` is to be compressed in a sphere in such a way that the escape velocity from its surface is `3xx10^(8) m//s`. Find the radius of the sphere (in `mm`).

A

9 km

B

9 m

C

9cm

D

9mm

Text Solution

Verified by Experts

The correct Answer is:
D
`v_e=sqrt((2GM)/R)=sqrt((2xx6.67xx10^(-11)xx6xx10^(24))/R)`
`rArr(3xx10^8)^2=(2xx6.67xx10^(-11)xx6xx10^(24))/R`
`rArrR=9mm` (Approx.)
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