Question

A nucleus of mass number of 189 splits into two nuclei having mass number 125 and 64. The ratio of radius of two daughter nuclei respectively is:

पर्याय

• 1 : 1

• 4 : 5

• 5 : 4

• 25 : 16

Answer 1

5 : 4

Explanation:

As, R = R₀A^1/3

\[\frac{R_1}{R_2}=\frac{R_0(125)^{1/3}}{R_0(64)^{1/3}}\]

\[\frac{R_{1}}{R_{2}}=\left(\frac{125}{64}\right)^{1/3}\]

\[\frac{R_1}{R_2}=\frac{5}{4}\]

So,

R₁ : R₂ = 5 : 4