A nucleus of mass number 189 splits into two nuclei having mass… | Size of the Nucleus

A nucleus of mass number 189 splits into two nuclei having mass number 125 and 64. The ratio of radius…

8 2022 Nuclei Size of the Nucleus Medium

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

A $25:16$

B $1:1$

C $4:5$

D $5:4$

Detailed Solution

Nuclear radius $R = R_0A^{1/3}$ $\frac{R_{125}}{R_{64}} = \frac{R_0(125)^{1/3}}{R_0(64)^{1/3}} = \frac{5}{4}$ So the ratio is 5 : 4.