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