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 u_1^2 + 1/2 m_2u_2^2 - epsilon = 1/2 m_1v_1^2 + 1/2 m_2v_2^2`
B. `1/2 m_^21 u_1^2 + 1/2 m_2^2u_2^2 - epsilon = 1/2 m_1^2 v_1^2 + 1/2 m_2^2v_2^2`
C. `m_1^2 u_1 + m_2^2 u_2 - epsilon = m_1^2 v_1 + m_2^2 v_2`
D. `1/2 m_1 u_1^2 + 1/2 m_2u_2^2 = 1/2 m_1 v_1^2 + 1/2 m_2v_2^2 - epsilon`

Answer

A