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JEE Main 20265 AprilEvening Shift
Exam
JEE Main
Year
2026
Date
5 April
Shift
Evening Shift
Subject
Physics
Chapter
Nuclear Physics

JEE Main 2026 · 5 April · Evening Shift · Physics · Nuclear Physics

Assuming the experimental mass of ^ 12 _ 6 C as 12 u , the mass...

Assuming the experimental mass of 612C{}^{12}_{6}C as 12 u12\text{ u}, the mass defect of 612C{}^{12}_{6}C atom is _______ MeV/c2\text{MeV}/c^2.
(Mass of proton =1.00727 u= 1.00727\text{ u}, mass of neutron =1.00866 u= 1.00866\text{ u}, 1 u=931.5 MeV/c21\text{ u} = 931.5\text{ MeV}/c^2 and cc is the speed of the light in vacuum).

Options

  1. A127.5127.5
  2. B89.0389.03
  3. C272.0272.0
  4. D92.092.0

Correct answer

B. 89.0389.03

Step-by-step solution

The mass of 66 protons is 6×1.00727 u=6.04362 u6 \times 1.00727\text{ u} = 6.04362\text{ u}.

The mass of 66 neutrons is 6×1.00866 u=6.05196 u6 \times 1.00866\text{ u} = 6.05196\text{ u}.

Total mass of the constituent nucleons is 6.04362 u+6.05196 u=12.09558 u6.04362\text{ u} + 6.05196\text{ u} = 12.09558\text{ u}.

The mass defect Δm\Delta m is the difference between the total mass of the nucleons and the experimental mass of the atom (ignoring electron mass as per the given data):

Δm=12.09558 u−12 u=0.09558 u\Delta m = 12.09558\text{ u} - 12\text{ u} = 0.09558\text{ u}

Converting the mass defect into MeV/c2\text{MeV}/c^2:

Δm=0.09558×931.5 MeV/c2=89.03277 MeV/c2≈89.03 MeV/c2\Delta m = 0.09558 \times 931.5\text{ MeV}/c^2 = 89.03277\text{ MeV}/c^2 \approx 89.03\text{ MeV}/c^2

Answer: 89.0389.03
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