A stationary bomb of mass 10 kg suddenly explode in two fragment of 4 kg and 6 kg. Ratio of their velocity will b e .....

Options

A. `3:2`
B. `2:5`
C. `3:5`
D. `12:5`

Answer

A

Explanation

Let mass of bomb M = 10 kg and initial velocity v=0
mass of second fragment `m_(2) = 6` kg and velocity By law of conservation of linear momentum
`MV = m_(1) v_(1) +m_(2) v_(2)`
`M xx 0 = m_(1) v_(1) + m_(2) v_(2)`
`m_(1) v_(1) -m_(2)v_(2)`
`(v_(1))/(v_(2)) =-(m_(2))/( m_(1))`
`|(v_(1))/(v_(2))| = (6)/(4)`
`v_(1) : v_(2) = 3: 2`