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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.

The value of height `h` is

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