A particle of mass m, kinetic energy K and momentum. p collides head on elastically with another particle of mass $$2$$ m at rest. Match the following columns (after$$ $$collision) and mark the correct option from the codes given below.A B C D

Question

A particle of mass m, kinetic energy K and momentum. p collides head on elastically with another particle of mass $$2$$ m at rest. Match the following columns (after$$ $$collision) and mark the correct option from the codes given below.A  B  C  D

Infinity Learn · Accepted Answer

$$p1$$ $$+$$ $$p2$$ $$=$$ p                                                                     …(i)Further$$,        $$K1$$ $$+$$ $$K2=Kor$$        $$p122m+p224m=p22m$$ or  $$2p12$$ $$+$$ $$p22$$ $$=$$ $$2p2$$                …$$(ii)Solving$$ Eqs. $$(i) and (ii), we get          $$p2=43p$$            and    $$p1=-p3$$, $$K1=K9$$ and $$K2=8K9Hence$$, A→r, B→p, C→q, D→s.

Column I	Column II
(A) Momentum of first particle	(p) 4p/3
(B) Momentum of second particle	(q) K/9
(C) Kinetic energy of first particle	(r) $-$ p/3
(D) Kinetic energy of second particle	(s) 8K/9

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