Question

The mass density of a nucleus varies with mass number $ A $ as

• A. \( A^0 \)
• B. \( A^2 \)
• C. \( \frac{1}{A} \)
• D. \( \ln A \)

Hint:

The mass density of a nucleus is nearly independent of the mass number \( A \), which means that it does not change as the size of the nucleus increases.

Answer 1

The Correct Option is A

The mass density of a nucleus is approximately constant, meaning it does not change with mass number \( A \). 
This can be explained by the fact that the volume of a nucleus is proportional to \( A^{1/3} \), and the mass is proportional to \( A \), so the density (mass/volume) remains constant as \( A \) increases. 
This implies that the mass density of a nucleus varies with \( A^0 \), which means it is independent of \( A \).