Two sphere `A and B` of masses `m_(1) and m_(2)` respectivelly colides. A is at rest initally and `B` is moving with velocity `v` along x-axis. After collision `B` has a velocity `(v)/(2)` in a direction perpendicular to the original direction. The mass `A` moves after collision in the direction.

Options

A. `theta=tan^(-1) (1//2)` to the x-axis
B. `theta=tan^(-1)(-1//2)` to the x-axis
C. same as that of B
D. opposite to the of B

Answer

B

Explanation

Applying the law of conservation of momentum we have
in y-direction, `m_(1) u sin theta=m_(2) v//2`
In x-direction `m_(1) u cos theta=m_(2)v`