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Two identical ball of radii r are kept o...

Two identical ball of radii `r` are kept on a horizontal plane with their centres `d` distance apart. A third ball, identical to previous one, collide elastically with both the balls symmetrically as shown in the figure. If the third ball comes to rest after the collision, `d` should be

A

`3r`

B

`2sqrt(2r)`

C

`(sqrt(2)+1)r`

D

`(sqrt(2)+2)r`

Text Solution

Verified by Experts

The correct Answer is:
B
`v_(2) = (4)/(2 cos theta), e = (v_(2)-v_(1))/(u_(1)-u_(2))`
`rArr cos theta = (1)/(sqrt(2)) rArr d = 2sqrt(2)r`
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