Nuclear Radius and Mass Number – Rankers Physics

Nucleus: Practice Problem & Solution

If the radius of a nucleus of mass number 2 is R, then radius of a nucleus of mass number 16 is
R
2R
\(\frac{R}{2}\)
4R

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 given by \(R \propto A^{1/3}\). Therefore, \(frac{R'}{R} = \left(\frac{16}{2}\right)^{1/3} = 8^{1/3} = 2\), so \(R' = 2R\).

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