Concept:
Different classifications of nuclei are based on the numbers of protons, neutrons and mass number.
• Isotopes: Same atomic number \(Z\), different mass number \(A\).
• Isobars: Same mass number \(A\), different atomic number \(Z\).
• Isotones: Same number of neutrons \(N\).
• Nuclear isomers: Same \(Z\) and \(A\) but different energy states.
Step 1: Recall the definition of isotones.
The neutron number is
\[
N=A-Z.
\]
When two or more nuclei possess the same value of \(N\), they are called isotones.
Examples:
\[
^{14}_{6}\mathrm{C}
\]
and
\[
^{15}_{7}\mathrm{N}
\]
both have
\[
N=8.
\]
Therefore they are isotones.
Step 2: Compare with other nuclear families.
Isobars require equal mass number.
Isotopes require equal atomic number.
Isomers require equal \(A\) and \(Z\) but different excitation states.
Only isotones require equal neutron number.
Step 3: Write the final conclusion.
Nuclides having the same number of neutrons are called
\[
\boxed{\text{Isotones}}.
\]
Hence, the correct answer is
\[
\boxed{\text{(B)}}
\]