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A particle of mass m is projected up fro...

A particle of mass `m` is projected up from the bottom of an inclined plane with initial velocity `v_(0)` at angle `45^(@)` with an inclined plane of inclineation `30^(@)` as shown in figure. At the same time a small block of same mass `m` is released from rest at a height `h`. The particle hits the block at some point on inclined plane.

If the particle sticks to the block after collision, the velocity of block parallel to the inclined plane just after collision will be (take `g=10m//s^(2)`)

A

`(v_(0))/(sqrt(2))`

B

`(v_(0))/2`

C

`(v_(0))/(2sqrt(2))(1-4/(sqrt(3)))`

D

`(v_(0))/(2sqrt(2))(1+4/(sqrt(3)))`

Text Solution

Verified by Experts

The correct Answer is:
C
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