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. `m_1^2 u_1 + m_2^2 u_2 - varepsilon = m_1^2v_1 + m_2^2v_2`
B. `frac(1)(2)m_1u_2^1 + frac(1)(2)m_2u_2^2 = frac(1)(2)m_1v_1^2 + frac(1)(2) m_2v_2^2- varepsilon`
C. `frac(1)(2) m_1u_1^2 + frac(1)(2) m_2u_2^2 - varepsilon = frac(1)(2) m_1v_1^2 + frac(1)(2) m_2v_2^2`
D. `frac(1)(2) m_1^2u_1^2 + frac(1)(2) m_2^2u_2^2 + varepsilon = frac(1)(2) m_1^2v_1^2 + frac(1)(2)m_2^2v_2^2`