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the velocity of s stationary wave in a sring is given by te relation V=K^x...

the velocity of s stationary wave in a sring is given by te relation V=K^x T^y e^z where k is the constant
calculate the value of x and y?

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Answers (1)

Standing wave, also called stationary
wave, combination of two waves moving
in opposite directions, each having the
same amplitude and frequency . The
phenomenon is the result of interference
—that is, when waves are superimposed,
their energies are either added together
or cancelled out. In the case of waves
moving in the same direction,
interference produces a travelling wave;
for oppositely moving waves, interference
produces an oscillating wave fixed in
space. A vibrating rope tied at one end
will produce a standing wave , as shown
in the Figure; the wave train (line B ),
after arriving at the fixed end of the rope,
will be reflected back and superimposed
on itself as another train of waves (line
C) in the same plane. Because of
interference between the two waves, the
resultant amplitude ( R ) of the two waves
will be the sum of their individual
amplitudes. Part I of the Figure shows
the wave trains B and C coinciding so
that standing wave R has twice their
amplitude. In part II, / period later, B
and C have each shifted / wavelength .
Part III represents the case / period
still later, when the amplitudes of the
component waves B and C are oppositely
directed. At all times there are positions
( N ) along the rope, called nodes , at
which there is no movement at all; there
the two wave trains are always in
opposition. On either side of a node is a
vibrating antinode ( A ). The antinodes
alternate in the direction of displacement
so that the rope at any instant resembles
a graph of the mathematical function
called the sine, as represented by line R .
Both longitudinal ( e.g., sound) waves and
transverse ( e.g., water) waves can form
standing waves.
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