Nucleus: Practice Problem & Solution
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 : (2022)
Solution Explained:
To solve this problem, we apply the core principles of Nucleus. Understanding the underlying formula is key to arriving at the correct answer below:
The radius of a nucleus is related to its mass number by $R = R_0 A^{1/3}$. The ratio of their radii is $R_1 / R_2 = (A_1 / A_2)^{1/3} = (125 / 64)^{1/3}$. This gives $R_1 / R_2 = 5 / 4$, so the ratio is $5 : 4$.
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