Physics · Nuclear Physics

JEE Main 2024 — 8 April, Shift 2 — Question 46

If MoM_{o} is the mass of isotope 512B,Mp{ }_{5}^{12} B, M_{p} and MnM_{n} are the masses of proton and neutron, then nuclear binding energy of isotope is :

  1. Option A:

    (5Mp+7Mn−Mo)C2\left(5 M_{p}+7 M_{n}-M_{o}\right) C^{2}

    Correct
  2. Option B:

    (Mo−5Mp)C2\left(M_{o}-5 M_{p}\right) C^{2}

  3. Option C:

    (Mo−12Mn)C2\left(M_{o}-12 M_{n}\right) C^{2}

  4. Option D:

    (Mo−5Mp−7Mn)C2\left(M_{o}-5 M_{p}-7 M_{n}\right) C^{2}

Answer: A

Step-by-step solution

B.E. =ΔmC2=\Delta \mathrm{mC}^{2} (5Mp+7Mn−Mo)C2\left(5 \mathrm{M}_{\mathrm{p}}+7 \mathrm{M}_{\mathrm{n}}-\mathrm{M}_{\mathrm{o}}\right) \mathrm{C}^{2}

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Subject
Physics
Chapter
Nuclear Physics
Topic
Mass Defect, Binding Energy and Q-Value of Nuclear Reaction
If M o is the mass of isotope 5 12 B, M p and M n are the masses of… | JEE Main 2024 PYQ with Solution · DhiX AI