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

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By Expert Faculty of Sri Chaitanya
a
21/3:1
b
1:31/2
c
31/2:1
d
1:21/3

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detailed solution

Correct option is D

According to law of conservation of momentum, we getm1v1=m2v2 or m1/m2=v2/v1 But m=43πr3ρ  or  m∝r3 ∴ m1m2=r13r23  Therefore, r13r23=V2V1=12 or r1r2=121/3 r1:r2=1:(2)1/3

ctaimg

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Given mass number of gold = 197, density of gold = 19.7g cm–3, Avogadro’s number = 6 × 1023. The radius of the gold atom is approximately.

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