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JEE Main 2010
Exam
JEE Main
Year
2010
Subject
Physics
Chapter
Nuclear Physics

JEE Main 2010 · Physics · Nuclear Physics

A nucleus of mass M+Δ m is at rest and decays into two daughter...

A nucleus of mass M+ΔmM+\Delta m is at rest and decays into two daughter nuclei of equal mass M2\frac{M}{2} each. Speed of light is c\mathrm{c}. 40. The binding energy per nucleon for the parent nucleus is E1E_1 and that for the daughter nuclei is E2E_2. Then

Options

  1. AE2=2E1\mathrm{E}_2=2 \mathrm{E}_1
  2. BE1>E2E_1>E_2
  3. CE2>E1E_2>E_1
  4. DE1=2E2\mathrm{E}_1=2 \mathrm{E}_2

Correct answer

C. E2>E1E_2>E_1

Step-by-step solution

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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