\[\begin {array} {1 1} (a)\;45^{\circ} & \quad (b)\;30^{\circ} \\ (c)\;90^{\circ} & \quad (d)\;None\;of\;these \end {array}\]

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Collision is elastic.

Hence velocities along the line of impact will be exchanged.

Velocity of particle along line of impact $=V \cos \theta$

Velocity of particle perpendicular to line of impact

$ V \sin \theta= v \times \large\frac{1}{2}$

Velocity of disc $=\large\frac{ v \sqrt 3}{3}$

Particles will move perpendicular to disc.

The 2 bodies will move at right angles.

Hence c is the correct answer.

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