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Question: Answered & Verified by Expert
A nucleus of mass $M+\Delta m$ is at rest and decays into two daughter nuclei of equal mass $\frac{M}{2}$ each. Speed of light is $\mathrm{c}$.
40. The binding energy per nucleon for the parent nucleus is $E_1$ and that for the daughter nuclei is $E_2$. Then
PhysicsNuclear PhysicsJEE MainJEE Main 2010
Options:
  • A
    $\mathrm{E}_2=2 \mathrm{E}_1$
  • B
    $E_1>E_2$
  • C
    $E_2>E_1$
  • D
    $\mathrm{E}_1=2 \mathrm{E}_2$
Solution:
2403 Upvotes Verified Answer
The correct answer is:
$E_2>E_1$
After decay, the daughter nuclei will be more stable hence binding energy per nucleon will be more than that of their parent nucleus.

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