A nucleus is at rest in the laboratory frame of reference. Show that if it disintegrates into two smaller nuclei the products must move in opposite directions.

A nucleus is at rest in the laboratory frame of reference. Show that i

1.	A nucleus is at rest in the laboratory frame of reference. Show that if it disintegrates into two smaller nuclei the products must move in opposite directions.
Answer» Solution :Let MASS of nucelus is m and initial VELOCITY v=0 by law of conservation of linear MOMENTUM `vecp_(i)=vec_(F)` `0=m_(1)v_(1)+m_(2)vecv_(2)` `therefore VEC v_(2)=(m_(1))/(m_(2)).vecv_(1)` negative sign shows that velocity of both fragment are in mutually opposoite direction