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A body of mass m is dropped from a heigh...

A body of mass `m` is dropped from a height of `h`. Simultaneously another body of mass `2m` is thrown up vertically with such a velocity `v` that they collide at height `h/2`. If the collision is perfectly inelastic, the velocity of combined mass at the time of collision with the ground will be

A

`sqrt((5gh)/(4))`

B

`sqrt(gh)`

C

`sqrt((gh)/(4))`

D

`sqrt((13gh)/(9))`

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