Two inclined planes OA and OB having inclination (with horizontal) `30^(@)` and `60^(@)` respectively , intersect each other at O. A particle is projected from point 'P' with velocity `u=10sqrt(3)` m/s along a direction perpendicu lar to plane OA. If the particle strikes plane OB perpendicu lar at Q. Calcu late:

The velocity with which particle strikes the plane OB.

Options

A. 15m/s
B. 30m/s
C. 20m/s
D. 10m/s

Answer

d

Explanation

Now for x-axis
`v_(x)=v_(x)+a_(x)T`
`0=10sqrt(3)-gsin 60^(@)T`
Since, `s_(x)=u_(x0T+(1)/(2)a_(x)T^(2)`
`s_(x)=(10sqrt(3).T-(1)/(2)g sin 60^(@)T^(2))`
Along y-axis
`OP=(1)/(2)g cos 60^(@)T^(2)`
`(h)/(OP)=sin 30^(@)`