In the arrangement shown, blocks A and B connected with an inextensible string move with velocities `v_(1)` and `v_(2)` along horizontal direction. The ratio of `v_(2)/v_(1)` is:

Options

A. `(sin alpha)/(sin beta)`
B. `(sin beta)/(sin alpha)`
C. `(cos beta)/(cos alpha)`
D. `(cos alpha)/(cos beta)`

Answer

D

Explanation

`-T cos betav_(2)=T cos alphav_(1)=0`
`cosbetav_(2)=cosalphav_(1),v_(2)/v_(1)=(cosalpha)/(cos beta)`