MP Board · Class 12 · Physics · NucleiThe radius of a nucleus is related to its mass number $A$ by the relation:
Step-by-Step Solution
The nuclear radius $R$ is directly proportional to the cube root of the mass number $A$, given by the formula $R = R_0 A^{1/3}$, where $R_0$ is a constant approximately equal to $1.2 \times 10^{-15} \text{ m}$.
Detailed Options Breakdown
Option : $R \propto A$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Nuclei.
Option 1: $R \propto A^{1/3}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $R \propto A^{2/3}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Nuclei.
Option 3: $R \propto A^{-1/3}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Nuclei.
💡 Study Guide: This question tests core syllabus concepts from Nuclei. For formulas, key summaries, and mock exam reference guides, read the full Nuclei Revision Notes.