Question

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

• A. 3^1/2 : 1
• B. 1 : 2^1/3
• C. 2^1/3 : 1
• D. 1 : 3^1/2

Answer 1

Answer: (B)

1 : 2^1/3

Answer 2

= $\frac { \mathrm { v } _ { 2 } } { \mathrm { v } _ { 1 } }$ = $\frac { 1 } { 2 }$ = Ž $\frac { \mathrm { R } _ { 1 } } { \mathrm { R } _ { 2 } }$=$\left( \frac { 1 } { 2 } \right) ^ { 1 / 3 }$= $\frac { 1 } { 2 ^ { 1 / 3 } }$