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Identify the isotones among the given nuclei

a. \({}_{6}^{14}C\) b. \({}_{7}^{14}N\) c. \({}_{7}^{15}N\) d. \({}_{8}^{16}O\)

  • A.a and c only
  • B.b and d only
  • C.a, c and d only
  • D.b and c only
  • E.c and d only

Answer: C

The isotones are a, c and d.

Isotones have the same number of neutrons, \(N = A - Z\):

\[ \begin{aligned} {}_{6}^{14}C &: 14 - 6 = 8 \\ {}_{7}^{14}N &: 14 - 7 = 7 \\ {}_{7}^{15}N &: 15 - 7 = 8 \\ {}_{8}^{16}O &: 16 - 8 = 8 \end{aligned} \]

Carbon-14, nitrogen-15 and oxygen-16 all have 8 neutrons. Nitrogen-14 has 7, so any option containing b is wrong; b and c are isotopes (same Z), and a and b are isobars (same A).

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