Two particles of masses `m_1`, m_2` move with intial velocity `mu_1` and `mu_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 u_1^2+1/2 m_2u_2^2=1/2m_1v_1^2 +1/2 m_2v_2^2-epsilon`
B. `1/2m_1u_1^2+1/2m_2u_2^2-epsilon=1/2 m_1v_1^2+1/2m_2v_2^2`
C. `1/2m_1u_1^2+1/2m_2u_2^2+epsilon=1/2 m_1v_1^2+1/2m_2v_2^2`
D. `m_1^2u_1+1/2m_2^2u_2-epsilon= m_1^2v_1+m_2^1v_1+m_2^2v_2`