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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

  1. A \(r_A \lt r_B\)
  2. B \(r_A\gt r_B\)
  3. C \(E_{b n A}\gt E_{\text {bnB }}\)
  4. D \(\mathrm{E}_{\mathrm{bnA}} \lt \mathrm{E}_{\mathrm{bnB}}\)
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Answer & Solution

Correct Answer

(C) \(E_{b n A}\gt E_{\text {bnB }}\)

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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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