Q.

A nucleus ruptures into two nuclear parts, which have their velocity ratio equal to 2 : 1 . What will be the ratio of their nuclear size (nuclear radius) ?

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a

21/3:1

b

1:21/3

c

31/2:1

d

1:31/2

answer is B.

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Detailed Solution

We know that m∝ volume ∝r3.  According to law of conservation of momentum m1 V1=m2 V2 V1V2=m2m1=r23r13=21  or  r1r2=121/3  or  r1:r2=1:21/3
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A nucleus ruptures into two nuclear parts, which have their velocity ratio equal to 2 : 1 . What will be the ratio of their nuclear size (nuclear radius) ?