Two particle of masses m_(1).m_(2) moves with initial velocities u_(1) and u_(2) . On collision one of the particles get excited to higher level afterabsorbingenergy epsilon .If final velocitiesofparticles be v_(1) and v_(2) then we must have :

Two particle of masses m_(1).m_(2) moves with initial velocities u_(1)

1.	Two particle of masses m_(1).m_(2) moves with initial velocities u_(1) and u_(2) . On collision one of the particles get excited to higher level afterabsorbingenergy epsilon .If final velocitiesofparticles be v_(1) and v_(2) then we must have :
Answer» `1/2m_(1)u_(1)^(2) +1/2 m_(2)u_(2)^(2) =1/2m_(1)v_(1)^(2)+1/2m_(2)v_(2)^(2)-epsilon` `1/2 m_(1)u_(1)^(2) +1/2m_(2)u_(2)^(2) - epsilon =1/2 m_(1)v_(1)^(2) +1/2m_(2)v_(2)^(2)` `1/2m_(1)^(2)u_(1)^(2)+1/2m_(2)^(2)u_(2)^(2)+epsilon =1/2 m_(1)^(2)v_(1)^(2)+1/2m_(2)^(2)v_(2)^(2)` `m_(1)^(2)u_(1)+m_(2)^(2)u_(2)-epilon=m_(1)^(2)v_(1)+m_(2)^(2)v_(2)` Solution :Energy is always be CONSERVED so `K.E_("INTIAL")=K.E_("FINAL") +` Excitation energy `1/2 m_(1)u_(1)^(2)+1/2m_(2)u_(2)^(2)-epsilon =1/2m_(1)v_(1)^(2)+1/2m_(2)v_(2)^(2)`