Question

Let the binding energy per nucleon of a nucleus be denoted by \( E_{\text{b/n}} \), and the radius of the nucleus is denoted by \( r \). If the mass numbers of nuclei A and B are 64 and 125 respectively, then:

• A. \( r_A<r_B \)
• B. \( r_A>r_B \)
• C. \( E_{\text{b/n}}^A>E_{\text{b/n}}^B \)
• D. \( E_{\text{b/n}}^A<E_{\text{b/n}}^B \)

Hint:

The radius of a nucleus increases with the cube root of its mass number, and the binding energy per nucleon decreases with increasing mass number. Use these relationships to solve problems related to nuclear properties.