WBJEE · Physics · Nuclear Physics
Let the binding energy per nucleon of nucleus is denoted by ' \(\mathrm{E}_{\mathrm{bn}}\) ' and radius of the nucleus is denoted by' r '. If mass number of nuclei \(A\) and \(B\) are 64 and 125 respectively, then
- A \(r_A \lt r_B\)
- B \(r_A\gt r_B\)
- C \(E_{b n A}\gt E_{\text {bnB }}\)
- D \(\mathrm{E}_{\mathrm{bnA}} \lt \mathrm{E}_{\mathrm{bnB}}\)
Answer & Solution
Correct Answer
(C) \(E_{b n A}\gt E_{\text {bnB }}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { }r \propto A^{\frac{1}{3}} \\ & r_A \lt r_B \\ & E_{b n A}\gt E_{b n B} \rightarrow\left(\frac{B . E}{\text { Nucleon }}\right) \text { for } \mathrm{Fe} \text { is maximum and mass number of Nucleus } A \text { is closer to the mass number of }…
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