question_answer

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 e. If final velocities of particles be \[{{u}_{1}}\]and \[{{u}_{2}}\]then we must have

A) \[{{m}_{1}}u_{1}^{2}+{{m}_{2}}u_{2}^{2}-\varepsilon ={{m}_{1}}\upsilon _{1}^{2}+{{m}_{2}}\upsilon _{2}^{2}\]

B)  \[\frac{1}{2}{{m}_{1}}u_{1}^{2}+\frac{1}{2}{{m}_{2}}u_{2}^{2}=\frac{1}{2}{{m}_{1}}u_{1}^{2}\]\[+\frac{1}{2}{{m}_{2}}u_{2}^{2}-\varepsilon \]

C)  \[\frac{1}{2}{{m}_{1}}u_{1}^{2}+\frac{1}{2}{{m}_{2}}u_{2}^{2}-\varepsilon =\frac{1}{2}{{m}_{1}}u_{1}^{2}\]\[+\frac{1}{2}{{m}_{2}}u_{2}^{2}\]

D)  \[\frac{1}{2}m_{1}^{2}u_{1}^{2}+\frac{1}{2}m_{2}^{2}u_{2}^{2}+\varepsilon =\frac{1}{2}m_{1}^{2}u_{1}^{2}\]\[+\frac{1}{2}m_{2}^{2}u_{2}^{2}\]