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Two uniform spherical starts made of sa...

Two uniform spherical starts made of same material have radii R and 2R. Mass of the smaller planet is m. They start mmoving from rest towards each other from a large distance under mutual force of gravity. The collision between the stars is inelastic with coefficient of restitution 1/2.
The maximum separation between their centres after their first collision

A

4R

B

6R

C

8R

D

12R

Text Solution

Verified by Experts

The correct Answer is:
A
At the maximum separation both the stars will come to rest as total momentum of the system needs to be zero all the time.
`rArr p=(2Gm^2)/(3R)=(Gm xx 8m)/(3R)-(Gmxx8m)/d`
`rArr 1/d=1/8xx(8/(3R)-2/(3R))=1/(4R) rArr d=4R`

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