A body at rest breaks up into `3` parts. If `2` parts having equal masses fly off perpendicularly each after with a velocity of `12 m//s` when the velocity of the third part which has `3 times` mass of each part is

Options

A. u`4 sqrt(2) m//s` at an angle of `45^(@)` from each body
B. `24 sqrt(2) m//s` at angle of `135^(@)` from each body
C. `6sqrt(2)m//s` at `135^(@)` from each body
D. `4sqrt(2) m//s` at `135^(@)` from each body

Answer

D

Explanation

The momentum of third part will be equal and opposite to the resultant of momentum of rest two equal parts
let V is the velocity of third part
By the conservation of linear momentum
`3m xx V= m xx 12 sqrt2 rArr V= 4 sqrt2 m//s`