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Question

Question: A nucleus ruptures into two nuclear parts which have their velocity ratio equal to 2 : 1. What will ...

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

A

21/3 : 1

B

1: 21/3

C

31/2 : 1

D

1: 31/2

Answer

1: 21/3

Explanation

Solution

m1v1 = m1v2 Ž = Ž 43πr13 d43πr23 d\frac { \frac { 4 } { 3 } \pi r _ { 1 } ^ { 3 } \mathrm {~d} } { \frac { 4 } { 3 } \pi r _ { 2 } ^ { 3 } \mathrm {~d} } =

Ž = 12\frac { 1 } { 2 }Ž = (12)1/3\left( \frac { 1 } { 2 } \right) ^ { 1 / 3 }