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JEE Main 2026 (5 Apr, Shift 2) · Mass Defect & Binding Energy

Mass Defect & Binding Energy question from JEE Main 2026 (5 Apr, Shift 2)

Q3JEE Main 2026 · 5 APR · SHIFT 2Medium

Mass Defect & Binding Energy

Assuming the experimental mass of 612C{}_{6}^{12}C as 12u12u, the mass defect of 612C{}_{6}^{12}C atom is _____ MeV/c2\_\_\_\_\_\ \text{MeV/c}^{2}. (Mass of proton =1.00727u= 1.00727\text{u}. mass of neutron =1.00866u,1u=931.5MeV/c2= 1.00866\text{u}, 1\text{u} = 931.5\text{MeV/c}^{2} and c is the speed of the light in vacuum).

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Answer: (b)

  1. 612C{}_{6}^{12}C: 6 protons and 6 neutrons.
  2. 6(1.00727)+6(1.00866)=6.04362+6.05196=12.095586(1.00727) + 6(1.00866) = 6.04362 + 6.05196 = 12.09558 u
  3. Δm=12.09558−12=0.09558\Delta m = 12.09558 - 12 = 0.09558 u =0.09558×931.5=89.03= 0.09558 \times 931.5 = 89.03 MeV/c2c^2
  4. So the answer is (b) 89.03.
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