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A solid sphere of mass M and radius R is...


A solid sphere of mass M and radius R is surrounded by a spherical shell of same mass M and radius 2R as shown. A small particle of mass m is relased from rest from a height h`(lt lt R)` above the shell. There is a hole in the shell.
Q. With what approximate speed will it collide at B?

A

`sqrt((2GM)/(R))`

B

`sqrt((GM)/(2R))`

C

`sqrt((3GM)/(2R))`

D

`sqrt((GM)/(R))`

Text Solution

Verified by Experts

The correct Answer is:
D
Given that `(h lt lt R)` so the velocity at A is also zero
loss in PE = gain KE `therefore(GMm)/(2R)=(1)/(2)mv^(2)impliesv=sqrt((GM)/(R))`
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