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A spherical ball A of mass 4 kg, moving ...

A spherical ball A of mass 4 kg, moving along a straight line strikes another spherical ball B of mass 1 kg at rest. After the collision, A and B move with velocities `v_1 m s^(-1) and v_2 m s^(-1)` respectively making angles of `30^@ and 60^@` with respect to the original direction of motion of A. The ratio `v_1/v_2` will be

A

`sqrt3//4`

B

`4//sqrt3`

C

`1//sqrt3`

D

`sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
A
`4v_1 sin30^@ - v_2 sin 60^@ = 0`
`implies 4v_1 xx1/2 =v_2sqrt3/2 implies v_1/v_2 =sqrt3/4`
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