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A shell of mass m is at rest initially. It explodes into three fragments having mass in the ratio `2:2:1`. If the fragments having equal mass fly off along mutually perpendicular directions with speed v the speed of the third (lighter) fragments is:

A

`v`

B

`sqrt(2) v`

C

`2 sqrt(2) v`

D

`3 sqrt(2) v`

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