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(B) From the given figure,we can observe the phase relationship between the waves.Wave $A$ is represented by $y = a \sin(\omega t)$.Wave $B$ starts at

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the wave $C$ lags behind by a phase angle of $\pi /2$ and the wave $B$ is ahead by a phase angle of $\pi /2$

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(B) From the given figure,we can observe the phase relationship between the waves.Wave $A$ is represented by $y = a \sin(\omega t)$.Wave $B$ starts at $t=0$ with a negative slope and reaches its mean position at $t=0$,which corresponds to a phase shift of $+\pi/2$ relative to $A$ (since it is a negative sine wave,$y_B = a \sin(\omega t + \pi/2) = a \cos(\omega t)$).Wave $C$ reaches its mean position at $t = \pi/2\omega$,which is $\pi/2$ later than wave $A$. Thus,wave $C$ lags behind wave $A$ by a phase angle of $\pi/2$ $(y_C = a \sin(\omega t - \pi/2))$.Therefore,wave $C$ lags behind by a phase angle of $\pi/2$ and wave $B$ is ahead by a phase angle of $\pi/2$.

The figure given below shows four progressive waves $A, B, C$ and $D$ with their phases expressed with respect to the wave $A$. It can be calculated from the figure that

Similar Questions

$A$ progressive wave is given by $Y = 12 \sin (5t - 4x)$. On this wave,how far away are the two points having a phase difference of $90^{\circ}$?

The equation of a plane progressive wave is given by $y = 0.6 \sin 2\pi (t - x/2)$. On reflection from a denser medium,its amplitude becomes $2/3$ of the amplitude of the incident wave. The equation of the reflected wave is:

Among the following,the equation representing a progressive wave is
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$(D)$ $y=\cos x \sin t+\cos 2x \sin 2t$

Given below are some functions of $x$ and $t$ to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent a travelling wave.

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