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A particle P is projected from a point o...


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=(2ubot)/(gcostheta)=(2u)/(gcostheta)`
`u=(gTcostheta)/(2)=10(m)/(s)`
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