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An object of mass 3m splits into three e...

An object of mass 3m splits into three equal fragments. Two fragments have velocities `vhatj` and `v hati`. The velocity of the third fragment is

A

`v(hatj-hati)`

B

`v(hati-hatj)`

C

`-v(hati+hatj)`

D

`(v(hati+hatj))/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
C

Initial momentum of 3m mass = 0 `" "` …(i)
Due to explosion this mass splits into three fragments of equal masses.
Final momentum of system `= m vec(V)+mv hat(i)+mv hat(j) " "` …(ii)
By the law of conservation of linear momentum
`m vec(V)+mv hat(i)+mv hat(j)=0 hArr vec(V)=-v (hat(i)+hat(j))`
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