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The expected mass of \({}^{12}_{6}C\) nucleus is

(Mass of neutron is 1.00866 u; Mass of proton is 1.00727 u)

  • A.8.0637 u
  • B.12.0956 u
  • C.6.0478 u
  • D.2.0159 u
  • E.10.0797 u

Answer: B

The expected mass is 12.0956 u.

A carbon-12 nucleus contains 6 protons and 6 neutrons. Adding the masses of these separate nucleons gives the expected mass (the actual nuclear mass is smaller by the mass defect).

\[ \begin{aligned} m &= 6(1.00727) + 6(1.00866) \\ &= 6.04362 + 6.05196 \\ &= 12.09558 \approx 12.0956 \text{ u} \end{aligned} \]

6.0478 u counts only six nucleons, and 2.0159 u is one proton plus one neutron. The other values use the wrong number of particles.

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