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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1 month ago

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.