Resonance And Echo |
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Resonance
is a phenomenon that structures capable of oscillation will
oscillate in sympathy with relatively feeble external forces
which act periodically and whose oscillation period coincides
with that of the resonating structure. While it is resonating,
the structure stores up energy. |
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The oscillations
do not, however, go on increasing indefinitely, but are limited
by energy losses in this case more particularly by losses
due to friction of the liquid on the wall of the tube. Resonance
of a magnetically polarised steel spring can be induced by
the fluctuating magnetic field of an electromagnet energized
by an alternating current (Fig.2a). This resonance effect
is, for example, utilized in frequency meters.
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The conception of
resonance had its origin in the science of acoustics. Fig.2b
illustrates an acoustic resonator, a device known as Kundt’s
tube which is used for measuring the wavelength of sound waves.
Projecting into the glass tube is one end of a metal rod which
is held gripped in the middle. Longitudinal vibrations are set
up in this rod by rubbing it with a cloth sprinkled with powdered
rosin. The end of the rod in the tube is provided with a disc
which in turn transmits the vibrations to the air in the tube. |
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Under
certain circumstances the amount of energy stored up in this
way may become so great that it brings about the destruction
or collapse of the structure. A simple example of a resonating
structure is a child’s swing (Fig 1a). It is a pendulum,
which is given a push or a thrust in the swinging direction
each time it reaches its maximum deflection. Its energy build
up i.e., its resonance, is directly evident from the increasing
amplitude of the deflection of the swing. Another example
is a liquid in a U-shaped tube (Fig.1b). The liquid can be
set in motion by blowing into one end of the tube, and by
blowing it periodically at the appropriate instant, the amplitude
of its oscillations is progressively increased. |
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The
effective length of the tube can be varied by means of an
adjustable disc at the other end. The vibrations i.e sound
waves are reflected by this disc, and on suitably adjusting
its position, a stationery wave will be produced in the tube,
and resonance occurs. |
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This happens when the distance between the two discs is equal
to an odd multiple of one-quarter of the wavelength of the
sound waves set up in the tube, and vibration nodes and antinodes
are formed. These can be indicated by introducing a small
quantity of some suitably light powder e.g., lycopodium powder,
into the tube. The powder congregates in a heap at each node.
The nodes are thus made Visible, and the distance between
them can be measured. The distance between two successive
nodes is equal to half the wavelength of the sound waves set
up in the tube. |
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Resonance effects are also observed in connection with electromagnetic
phenomena. The most well known and important example is the
excitation of an electromagnetic oscillatory circuit, comprising
a self-inductance L and capacity C by an alternating voltage
(Fig.3) In the circuit the energy oscillate between its electrical
state in the condenser (Fig.3a) and its magnetic state in
the magnetic field of self-induction (Fig.3b) If the natural
period of vibration and therefore the frequency of the oscillatory
circuit corresponds to that of the alternating voltage, resonance
will occur. |
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The
circuit will in that case absorb the maximum amount of energy
from the source of energy that produces the excitation. Radio
transmitters and receivers are turned with the aid of this
resonance effect. To prevent the energy attaining disastrously
high values, resistances are included in the circuit; these
cause energy losses in the form of heat. |
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Another
phenomenon that acoustic and electric vibrations have in common
is echo, i.e., the reflection of sound waves or electromagnetic
waves from obstacles they encounter (Fig.4). |
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