Question

The radius of nucleus is

• A. proportional to its mass number
• B. inversely proportional to its mass number
• C. proportional to the cube root of its mass number
• D. not related to its mass number

Hint:

The nuclear radius is proportional to \( A^{1/3} \), where \( A \) is the mass number.

Answer 1

The Correct Option is C

Step 1: Nuclear Radius Formula.
The radius of a nucleus is given by \( R \propto A^{1/3} \), where \( A \) is the mass number. Hence, the radius is proportional to the cube root of the mass number.

Step 2: Conclusion.
Therefore, the correct answer is option (C).

Final Answer: \[ \boxed{\text{(C) proportional to the cube root of its mass number}} \]