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You can show to the students the presence of harmonics by
gently touching a vibrating wire where the harmonic has a node.
This will quench the vibrations of other harmonics which do not
have a node at that point. By this method you can supress the
fundamental and make the student to listen to the second harmonic
by gently touching the wire in the middle and so on. Higher harmonics
are feeble and therefore one has to listen to them carefully.