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A body of mass 5m initially at rest expl...

A body of mass `5m` initially at rest explodes into 3 fragments with mass ratio `3:1:1.` Two of fragments each of mass `'m'` are found to move with a speed `60m//s` in mutually perpendicular direction. The velocity of third fragment is

A

`60sqrt(2)`

B

`20sqrt(3)`

C

`10sqrt(2)`

D

`20sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Applying principle of conservation of linear momentum, we get
`3 m xx upsilon=sqrt((mxx60)^(2)+(mxx60)^(2))=mxx60sqrt(2)`
`upsilon =20sqrt(2) m //s`
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