Density of Daughter Nuclei – Rankers Physics

Nucleus: Practice Problem & Solution

A nucleus of nuclear density \(\rho\) disintegrates into two daughter nuclei with masses in the ratio 9:21. Density of the smaller nucleus is
\(\frac{3}{7}\rho\)
\(\frac{9}{21}\rho\)
\(\frac{9}{30}\rho\)
\(\rho\)

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:

Nuclear density is constant and independent of mass number \(A\) because mass is proportional to \(A\) and volume is also proportional to \(A\). Thus, the density remains \(\rho\).

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