During the vibration of a tuning-fork the distance between the two
prongs is alternately increased and diminished. Let us call the motion
which increases the distance the _outward swing_, and that which
diminishes the distance the _inward swing_ of the fork. And let us
suppose that our two forks, A and B, Fig. 150, reach the limits of
their outward swing and their inward swing at the same moment. In this
case the _phases_ of their motion, to use the technical term, are
the same. For the sake of simplicity we will confine our attention
to the right-hand prongs, A and B, of the two forks, neglecting the
other two prongs; and now let us ask what must be the distance between
the prongs A and B, when the condensations and rarefactions of both,
indicated respectively by the dark and light shading, coincide? A
little reflection will make it clear that if the distance from B to A
be equal to the length of a whole sonorous wave, coincidence between
the two systems of waves must follow. The same would evidently occur
were the distance between A and B two wave-lengths, three wave-lengths,
four wave-lengths—in short, any number of whole wavelengths. In all
such cases we shall have coincidence of the two systems of waves, and
consequently a reinforcement of the sound of the one fork by that of
the other. Both the condensations and rarefactions between A and C are,
in this case, more pronounced than they would be if either of the forks
were suppressed.
[Illustration: FIG. 151.]
But if the prong B be only half the length of a wave behind A, what
must occur? Manifestly the rarefactions of one of the systems of waves
will then coincide with the condensations of the other system, the
air to the right of A being reduced to quiescence. This is shown in
Fig. 151, where the uniformity of shading indicates an absence both
of condensations and rarefactions. When B is two half wave-lengths
behind A, the waves, as already explained, support each other; when
they are three half wave-lengths apart, they destroy each other. Or
expressed generally, we have augmentation or destruction according as
the distance between the two prongs amounts to an even or an odd number
of semi-undulations. Precisely the same is true of the waves of light.
If through any cause one system of ethereal waves be any _even_ number
of semi-undulations behind another system, the two systems support each
other when they coalesce, and we have more light. If the one system be
any _odd_ number of semi-undulations behind the other, they oppose each
other, and a destruction of light is the result of their coalescence.
The action here referred to, both as regards sound and light is called
_Interference_.
§ 3. _Experimental Illustrations_
[Illustration: FIG. 152.]
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