Physics · Nuclear Physics

JEE Main 2024 — 27 January, Shift 2 — Question 36

The atomic mass of 6C12{ }_{6} \mathrm{C}^{12} is 12.000000 u and that of 6C13{ }_{6} \mathrm{C}^{13} is 13.003354 u . The required energy to remove a neutron from 6C13{ }_{6} \mathrm{C}^{13}, if mass of neutron is 1.008665 u , will be :

  1. Option A:

    62.5 MeV

  2. Option B:

    6.25 MeV

  3. Option C:

    4.95 MeV

    Correct
  4. Option D:

    49.5 MeV

Answer: C

Step-by-step solution

6C13+{ }_{6} \mathrm{C}^{13}+ Energy →6C12+0n1\rightarrow{ }_{6} \mathrm{C}^{12}+{ }_{0} \mathrm{n}^{1} Δm=(12.000000+1.008665)−13.003354\Delta \mathrm{m}=(12.000000+1.008665)-13.003354

=−0.00531u=-0.00531 \mathrm{u}

∴\therefore Energy required =0.00531×931.5MeV=0.00531 \times 931.5 \mathrm{MeV}

=4.95MeV=4.95 \mathrm{MeV}

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
The atomic mass of 6 C 12 is 12.000000 u and that of 6 C 13 is… | JEE Main 2024 PYQ with Solution · DhiX AI