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A particle P is projected from a point on the surface of smooth inclined plane (see figure). Simultaneously another particle Q is released on the smooth inclined plane from the same position. P and Q collide after`t=4`. The speed of projection of P is

A

`5 m//s`

B

`10 m//s`

C

`15 m//s`

D

`20 m//s`

Text Solution

Verified by Experts

The correct Answer is:
B
It can be observed from figure that P and Q shall collide if the initial component of velocity of P along incline.
`u_(||)=0` that is particle is projected perpendicular to incline

`:.` Time of flight `T=(2u_(bot))/(g cos theta)=(2u)/(g cos theta)`
` :. u=(gT cos theta)/2=10 m//s`
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