In the arrangement shown in figure the ratio of velocity `V_(1)&V_(2)` of block (1)&(2) is

Options

A. `V_(1)/V_(2)=2cot theta`
B. `V_(1)/V_(2)=sintheta/2`
C. `V_(1)/V_(2)=2sintheta`
D. none

Answer

C

Explanation

`2y+x=lRightarrow2|(dy)/dt|+|(dx)/dt|=v_(1)....(1)`
`z^(2)+d^(2)=y^(2)`
`Rightarrow(dz)/dt=y/z(dy)/dt [:.d=const]`
`:.V_(2) sin0=(dy)/dt...(2)`
` 2=V_(1)/(V_(2)sin0)`
`Rightarrow V_(1)/V_(2)=2sin0]`