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Question -

Anucleus is at rest in the laboratory frame of reference. Show that if itdisintegrates into two smaller nuclei the products must move in oppositedirections.



Answer -

Let mm1,and m2 be the respective masses of the parentnucleus and the two daughter nuclei. The parent nucleus is at rest.

Initialmomentum of the system (parent nucleus) = 0

Let v1 and v2 bethe respective velocities of the daughter nuclei having masses m1 and m2.

Totallinear momentum of the system after disintegration = 

Accordingto the law of conservation of momentum:

Totalinitial momentum = Total final momentum

Here,the negative sign indicates that the fragments of the parent nucleus move indirections opposite to each other.

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