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Nuclei

Question
CBSEENPH12047901

A nucleus disintegrates into two nuclear parts which have their velocities in the ratio 2 : 1. The ratio of their nuclear size will be

  • 21/3 : 1

  • 1 : 31/2

  • 31/2 : 1

  • 1 : 21/2

Solution

B.

1 : 31/2

D.

1 : 21/2

Given:- A nucleus disintegrate into two parts

         Their velocities ratio v1 : v2 = 2 : 1

According to the law of conservation of momentum, we get

               m1 v1 = m2 v2

⇒               m1m2 = v2v1

But        m = 43 π r3ρ

               m ∝ r3

⇒           m1m2 = r13r23

∴             r13r23 = v2v1

⇒             r1r2 = 1213

∴              r1 : r2 = 1 : (2)1/3