A body mass of 1kg. Intially at rest explodes and breaks into three parts. The masses of the parts are in the ratio 1:1:3. The two pieces of equal mass fly off perpendicular to each other with a speed of 30 m/s each. The velocity of the heavier part in m/s is

Options

A. `10sqrt(2)`
B. 6
C. 3
D. `6sqrt(2)`

Explanation

Intial momentum before explosion is zero. Final momentum after explosion.

`sqrt(2)(m)/(4)xx30-(3m)/(4)v'`
From conservation of momentum Intial momentum = Final momentum
`rArrsqrt(2)(m)/(4)xx30-(3m)/(4)v'=0`
`rArr " " v'=10sqrt(2)m//s`