Question:
Let binding energy per nucleon of nucleus be denoted by \(E_{bn}\) and radius of nucleus be denoted as \(r\). If mass number of nuclei A and B are 64 and 125 respectively then:
Let binding energy per nucleon of nucleus be denoted by \(E_{bn}\) and radius of nucleus be denoted as \(r\). If mass number of nuclei A and B are 64 and 125 respectively then:
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Medium mass nuclei are most stable.
Updated On: Mar 24, 2026
- \(r_A
- \(r_A>r_B,\;E_{bnA}>E_{bnB}\)
- \(r_A=r_B,\;E_{bnA}
- \(r_A
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The Correct Option is D
Solution and Explanation
Step 1: Nuclear radius:
\[ r \propto A^{1/3} \Rightarrow r_A < r_B \]
Step 2: Binding energy per nucleon peaks near \(A \approx 56\).
Step 3: Hence nucleus with \(A = 64\) has higher \(E_{bn}\) than \(A = 125\).
\[ r \propto A^{1/3} \Rightarrow r_A < r_B \]
Step 2: Binding energy per nucleon peaks near \(A \approx 56\).
Step 3: Hence nucleus with \(A = 64\) has higher \(E_{bn}\) than \(A = 125\).
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