A particle P moves in a circular path of radius R, with centre at O at uniform speed v as shown in figure. At centre a bulb is glowing which forms a shadow S on ceiling at a height h above the ground. Find velocity of shadwo when particle P is at an angle 0 with the vertical:

Options

A. `(vh)/(R) tan theta`
B. `(vh)/(R) sec theta`
C. `(vh)/(R) cot^(2)theta`
D. `(vh)/(R) sec^(2)theta`

Explanation

`(v_(1))/(05)=(v)/(R)`
`(v_(1))/(h sec theta)=(v)/(R)`
`v_(1)=(vh)/(R)sec theta`
`v_(s)=v_(1) cos theta`
`v_(s)=(vh)/(R)sec^(2)theta`