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A mass of 6xx10^24 kg (equal to the mass...

A mass of `6xx10^24` kg (equal to the mass of the earth) is to be compressed in a sphere in such a way that the escape velocity from its surface is `3xx10^8ms^-1`. What should be the radius of the sphere?

A

9 mm

B

8 mm

C

7 mm

D

6 mm

Text Solution

Verified by Experts

The correct Answer is:
A
`As,v_(e)=sqrt(((2GM)/(R))),R=((2GM)/(v_(e)^(2))),thereforeR=(2xx6.67xx10^(-11)xx6xx10^(24))/((3xx10^(8))^(2-))=9xx10^(-3)m=9mm`
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