But here you must perceive that the method of experiment is capable
of great extension. Instead of the glass tube, A _a_, we may employ a
rod of any other solid substance—of wood or metal, for example, and
thus determine the relative velocity of sound in the solid and in air.
In the place of the glass tube, for example, a rod of brass of equal
length may be employed. Rubbing its external half by a resined cloth,
it divides the column _a b_ into the number of ventral segments proper
to the metal’s rate of vibrations. In this way M. Kundt operated with
brass, steel, glass, and copper, and his results prove the method to
be capable of great accuracy. Calling, as before, the velocity of
sound in air unity, the following numbers expressive of the ratio of
the velocity of sound in brass to its velocity in air were obtained in
three different series of experiments:
1st experiment 10·87
2d experiment 10·87
3d experiment 10·86
The coincidence is here extraordinary. To illustrate the possible
accuracy of the method, the length of the individual dust segments was
measured. In a series of twenty-seven experiments, this length was
found to vary between 43 and 44 millimètres (each millimètre 1/25th of
an inch), never rising so high as the latter and never falling so low
as the former. The length of the metal rod, compared with that of one
of the segments capable of this accurate measurement, gives us at once
the velocity of sound in the metal, as compared with its velocity in
air.
Three distinct experiments, performed in the same manner on steel,
gave the following velocities, the velocity through air, as before,
being regarded as unity:
1st experiment 15·34
2d experiment 15·33
3d experiment 15·34
Here the coincidence is quite as perfect as in the case of brass.
In glass, by this new mode of experiment, the velocity was found to be
15·25.[49]
Finally, in copper the velocity was found to be
11·96.
[Illustration: FIG. 111.]
These results agree extremely well with those obtained by other
methods. Wertheim, for example, found the velocity of sound in steel
wire to be 15·108; M. Kundt finds it to be 15·34: Wertheim also found
the velocity in copper to be 11·17; M. Kundt finds it to be 11·96. The
differences are not greater than might be produced by differences in
the materials employed by the two experimenters.
The length of the aërial column may or may not be an exact multiple
of the wave-length, corresponding to the rod’s rate of vibration. If
not, the dust segments usually take the form shown in Fig. 111. But
if, by means of the stopper, _b_, the column of air be made an exact
multiple of the wave-length, then the dust quits the vibrating segments
altogether, and forms, as in Fig. 112, little isolated heaps at the
nodes.
§ 19. _Explanation of a Difficulty_
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