The atom and the Bohr theory of its structure : $b an elementary presentation — John Shaqi
The atom and the Bohr theory of its structure : $b an elementary presentationHolst, Helge
Science
The atom and the Bohr theory of its structure : $b an elementary presentation
Holst, Helge
Atomic theory
Let us suppose that we are in a boat which is anchored on a body of
water and let us watch the regular waves which pass us. If there is
neither wind nor current, a light body like a cork, lying on the
surface, rises with the wave crests and sinks with the troughs, going
forward slightly with the former and backward with the latter, but
remaining, on the whole, in the same spot. Since the cork follows the
surrounding water particles, it shows their movements, and we thus see
that the individual particles are in oscillation, or more accurately,
in circulation, one circulation being completed during the time in
which the wave motion advances a _wave-length_, _i.e._, the distance
from one crest to the next. This interval of time is called the _time
of oscillation_, or the _period_. If the number of crests passed in a
given time is counted, the oscillations of the individual particles
in the same time can be determined. The number of oscillations in
the unit of time, which we here may take to be one minute, is called
the _frequency_. If the frequency is forty and the wave-length is
three metres, the wave progresses 3 × 40 = 120 metres in one minute.
The velocity with which the wave motion advances, or in other words
its _velocity of propagation_, is then 120 metres per minute. We thus
have the rule that _velocity of propagation is equal to the product of
frequency and wave-length_ (cf. Fig. 8).
On the surface of a body of water there may exist at the same time
several wave systems; large waves created by winds which have
themselves perhaps died down, small ripples produced by breezes and
running over the larger waves, and waves from ships, etc. The form of
the surface and the changes of form may thus be very complicated; but
the problem is simplified by combining the motions of the individual
wave systems at any given point. If one system at a given time gives
a crest and another at the same instant also gives a crest at the
same point, the two together produce a higher crest. Similarly, the
resultant of two simultaneous troughs is a deeper trough; a crest from
one system and a simultaneous trough from the other partially destroy
or neutralize each other. A very interesting yet simple case of such
“interference” of two wave systems is obtained when the systems have
equal wave-lengths and equal amplitudes. Such an interference can be
produced by throwing two stones, as much alike as possible, into the
water at the same time, at a short distance from each other. When
the two sets of wave rings meet there is created a network of crests
and troughs. Figs. 4 and 5 show photographs of such an interference,
produced by setting in oscillation two spheres which were suspended
over a body of water.
[Illustration: FIG. 6.—Schematic representation of an interference.]
Public-domain text, read in full here on John Shaqi.
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