A bomb of mass `6kg` initially at rest explodes in to three identical fragments On of the fragments moves with a velocity of `10sqrt3 hatim//s` another frament moves with a velocity of `10 hatj m//s` then the thired fragment moves with velocity of magnitude .

Options

A. `30m//s`
B. `20m//s`
C. `15m//s`
D. `5 m//s`

Answer

B

Explanation

`P_(3) = - (P_(1)+P_(2)), P_(3) = sqrt(P_(1)^(2) +P_(2)^(2))`
`m_(3)v_(3) =sqrt((m_(1)v_(1))^(2)+(m_(2)v_(2))^(2)`