Two particles of masses $$m1$$ and $$m2$$ move with initial velocities $$u1$$ and $$u2$$. On collision, one of the particles get excited to higher level, after absorbing energy ε. If final velocities of particles be $$v1$$ and $$v2$$, then we must have [CBSE AIPMT $$2015$$]

Question

Two particles of masses $$m1$$ and $$m2$$ move with initial velocities $$u1$$ and $$u2$$. On collision, one of the particles get excited to higher level, after absorbing energy ε. If final velocities of particles be $$v1$$ and $$v2$$, then we must have [CBSE AIPMT $$2015$$]

Infinity Learn · Accepted Answer

Total initial energy $$=12m1u12+12m2u22Since$$, after collision one particle absorbs energy ε.∴   Total final energy $$=12m1v12+12m2v22+$$εFrom conservation of energy,           $$12m1u12+12m2u22=12m1v12+12m2v22+$$ε⇒  $$12m1u12+12m2u22-$$ε$$=12m1v12+12m2v22$$

Two particles of masses m₁ and m₂ move with initial velocities u₁ and u₂. On collision, one of the particles get excited to higher level, after absorbing energy $ε$ . If final velocities of particles be v₁ and v₂, then we must have [CBSE AIPMT 2015]

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Two particles of masses m1 and m2 move with initial velocities u1 and u2. On collision, one of the particles get excited to higher level, after absorbing energy ε. If final velocities of particles be v1 and v2, then we must have [CBSE AIPMT 2015]

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Two particles of masses m₁ and m₂ move with initial velocities u₁ and u₂. On collision, one of the particles get excited to higher level, after absorbing energy $ε$ . If final velocities of particles be v₁ and v₂, then we must have [CBSE AIPMT 2015]