In fig., blocks A and B move with velocities `v_(1)` and `v_(2)` along horizontal direction. Find the ratio of `v_(1)//v_(2)`

Options

A. `(sin theta_(1))/(sin theta_(2))`
B. `(sin theta_(2))/(sin theta_(1))`
C. `(cos theta_(2))/(cos theta_(1))`
D. `(cos theta_(1))/(cos theta_(2))`

Answer

C

Explanation

From fig., `l_(1)+l_(2)=C or (dl_(1))/(dt) +(dl_(2))/(dt) =0`

`-v_(1) cos theta_(1)+v_(2) cos theta_(2) =0` or `(v_1)/(v_2) = (cos theta_(2))/( cos theta_(1))`