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

Options

A. `sqrt3//4`
B. `4//sqrt3`
C. `1//sqrt3`
D. `sqrt3`

Answer

A

Explanation

`4v_1 sin30^@ - v_2 sin 60^@ = 0`
`implies 4v_1 xx1/2 =v_2sqrt3/2 implies v_1/v_2 =sqrt3/4`