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Questions  

A body of mass M at rest explodes into three pieces, two of which of mass M /4 each are thrown off in 
perpendicular directions with velocities of 3 ms-1 and 4 ms-1, respectively. The third piece will be
thrown off with a velocity of

a
1.5 ms-1
b
2 ms-1
c
2.5 ms-1
d
3 ms-1

detailed solution

Correct option is C

Momentum of one piece  =M4×3Momentum of second piece  =M4×4∴  Resultant momentum =9M216+M2=5M4The third piece should also have the same momentum. Let its veIocity be ν, then 5M4=M2×v⇒v=52=2.5 ms-1

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