Two particles of masses `m_(1), m_(2)` move with initial velocities `u_(1)` and `u_(2)`. On collision, one of the particles get excited to higher level, after absorbing energy `epsilon`. If final velocities of particles be `v_(1)` and `v_(2)`, then we must have

Options

A. `(1)/(2)m_(1)^(2)+(1)/(2)m_(2)^(2)u_(2)^(2)+epsilon=(1)/(2)m_(1)^(2)v_(1)^(2)+(1)/(2)m_(2)^(2)v_(2)^(2)`
B. `m_(1)^(2)u_(1)+m_(2)^(2)u_(2)-epsilon=m_(1)^(2)v_(1)+m_(2)^(2)v_(2)`
C. `(1)/(2)m_(1)u_(1)^(2)+(1)/(2)m_(2)^(2)=(1)/(2)m_(1)v_(1)^(2)+(1)/(2)m_(2)v_(2)^(2)-epsilon`
D. `(1)/(2)m_(1)u_(1)^(2)+(1)/(2)m_(2)u_(2)^(2)-epsilon=(1)/(2)m_(1)v_(2)+(1)/(2)m_(2)v_(2)^(2)`

Answer

D