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Physics · 2023 · 2 marks
CBSE 2023 · Region 3 · Set 1 · Q23
(a) Draw a graph showing the variation of binding energy per nucleon as a function of mass number A. The binding energy per nucleon for heavy nuclei…
(a)
Draw a graph showing the variation of binding energy per nucleon as a function of mass number A . The binding energy per nucleon for heavy nuclei ( $\displaystyle \mathrm{A}>170$ ) decreases with the increase in mass number. Explain.
OR
(b)
Using Bohr's postulates, obtain the expression for radius of $\displaystyle \mathrm{n}^{\text {th }}$ stable orbit in a hydrogen atom.
Marking-scheme solution
(a)
Graph of binding energy per nucleon as a function of mass number A Explanation
Mass number ( \(\displaystyle \mathrm{A}\) )
Explanation:-Nuclear forces are short range & show saturation, while the electrostatic force are neither short range nor show any saturation. Hence for heavier nuclei \(\displaystyle (\mathrm{A}>170)\) the electrostatic force of repulsion becomes predominant, decreasing the binding energy per nucleon.
Alternatively:-As the size of the nucleus increases, the nucleus becomes unstable.
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CBSE Class 12 Physics past-paper question from the 2023 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.