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Two inclined planes OA and OB intersect ...

Two inclined planes OA and OB intersect in a horizontal plane having their inclinations `alpha and beta` with the horizontal as shown in figure. A particle is projected from P with velocity u along a direction perpendicular to plane OA. The particle strikes plane OB perpendicularly at Q.

If `alpha = 30^@ , beta = 30^@` the time of flight from P to Q is

A

`u/g`

B

`sqrt(3u)/g`

C

`sqrt(2u)/g`

D

`(2u)/g`

Text Solution

Verified by Experts

The correct Answer is:
B
`v cos 60^(@)=u cos 60^(@)`
`rArr v=u`
Using `v_(y)=u_(y)+a_(y)t`
`-v sin 60^(@)=u sin 60^(@)-gt`
`rArr t=(2u sin 60^(@))/(g)=(usqrt3)/(g)`
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