You have just heard the beats produced by two tall organ-pipes nearly
in unison with each other. Two other pipes are now mounted on our
wind-chest, Fig. 155, each of which, however, is provided at its centre
with a membrane intended to act upon a flame.[70] Two small tubes lead
from the spaces closed by the membranes, and unite afterward, the
membranes of both the organ-pipes being thus connected with the same
flame. By means of the sliders, _s s′_, near the summits of the pipes,
they are either brought into unison or thrown out of it at pleasure.
They are not at present in unison, and the beats they produce follow
each other with great rapidity. The flame connected with the central
membranes dances in time to the beats. When brought nearer to unison,
the beats are slower, and the flame at successive intervals withdraws
its light and appears to exhale it. A process which reminds you of the
inspiration and expiration of the breath is thus carried on by the
flame. If the mirror, M, be now turned, the flame produces a luminous
band—continuous at certain places, but for the most part broken into
distinct images of the flame. The continuous parts correspond to the
intervals of interference where the two sets of vibrations abolish each
other.
Instead of permitting both pipes to act upon the same flame, we may
associate a flame with each of them. The deportment of the flames is
then very instructive. Imagine both flames to be in the same vertical
line, the one of them being exactly under the other. Bringing the
pipes into unison, and turning the mirror, we resolve each flame into
a chain of images, but we notice that the images of the one occupy the
spaces _between_ the images of the other. The periods of extinction of
the one flame, therefore, correspond to the periods of kindling of the
other. The experiment proves that, when two unisonant pipes are placed
thus close to each other, their vibrations are in opposite phases. The
consequence of this is, that the two sets of vibrations permanently
neutralize each other, so that at a little distance from the pipes you
fail to hear the fundamental tone of either. For this reason we cannot,
with any advantage, place close to each other in an organ several pipes
of the same pitch.
§ 5. _Lissajous’s Illustration of Beats of Two Tuning-forks_
[Illustration: FIG. 156.]
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