Rankers Physics

Nucleus: Practice Problem & Solution

A nucleus $^{m}_{n}X$ emits one $\alpha$ particle and two $\beta^-$ particles. The resulting nucleus is: (2011 Pre)
$^{m-4}_{n-2}Y$
$^{m-4}_{n-4}Z$
$^{m-4}_{n}Z$
$^{m}_{n-4}X$

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:

Emission of an $\alpha$ particle reduces mass number by 4 and atomic number by 2 (result: $^{m-4}_{n-2}X'$). Emission of two $\beta^-$ particles increases atomic number by 2 while leaving mass number unchanged (result: $^{m-4}_{n-2+2}Z = ^{m-4}_{n}Z$).

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