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.
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Nucleus is at rest initially,
e.g u = 0
Initial linear momentum = mu = 0
Let the nucleus disintegrates into two parts having mass m1 and m2 with speed v1 and v2 respectively.
Change in momentum after disintegration = m1v1 + m2v2
Here , external force = 0
According to law of conservation ,
Pi = Pf
0 = m1v1 + m2v2
V2 = -(m1/m2)V1
Here negative sign indicates that v1 and v2 are in opposite directions .
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