A nucleus of mass $M+\Delta m$ is at rest and decays into two daughter nuclei of equal mass $\frac{M}{2}$…

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
  1. $\mathrm{E}_2=2 \mathrm{E}_1$
  2. $E_1>E_2$
  3. $E_2>E_1$
  4. $\mathrm{E}_1=2 \mathrm{E}_2$

Solution

After decay, the daughter nuclei will be more stable hence binding energy per nucleon will be more than that of their parent nucleus.

Asked in: JEE Main 2010

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