For this wave, the phase is :
0
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At
The equation represents a wave with
amplitude , frequency
it does not represent a wave motion
The equation of wave is given by
Where and are in and in . The speed of the wave is
From the equation and
Speed of wave,
The equation of plane progressive wave motion is . Velocity of the particle is
The equation is expression for
stationary wave of single frequency along -axis
a simple harmonic motion
a progressive wave of single frequency along -axis
the resultant of two SHMs of slightly different frequencies
The equation of progressive wave propagating in the positive direction of -axis is
A transverse wave is represented by . For what value of the wavelength is the wave velocity equal to the maximum particle velocity?
Particle velocity,
wave velocity
i. e., But
The rate of transfer of energy in a wave depends
directly on the square of the wave amplitude and square of the wave frequency
directly on the square of the wave amplitude and root of the wave frequency
directly on the wave amplitude and square of the wave frequency
None of these
The intensity of wave, , so and .
For a sinusoidal wave represented by sin , for a given a, the factor determines the displacement of the wave of any position and at any instant is
constant
angular velocity
time interval
phase
When a sound wave of frequency passes through a medium, the maximum displacement of a particle of the medium is . The maximum velocity of the particle is equal to
The displacement of a particle in a medium can be expressed as, . where is in second and in meter. The speed of the wave is
From equation,
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