(B) Given the wave function $y = a_0 \sin(\omega t - kx)$.At time $t = 0$ and position $x = \frac{\pi}{2k}$,the displacement is:$y = a_0 \sin(\omega(0

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(B) Given the wave function $y = a_0 \sin(\omega t - kx)$.At time $t = 0$ and position $x = \frac{\pi}{2k}$,the displacement is:$y = a_0 \sin(\omega(0) - k(\frac{\pi}{2k}))$$y = a_0 \sin(-\frac{\pi}{2})$$y = -a_0 \sin(\frac{\pi}{2}) = -a_0$From the provided graph,the point representing the maximum displacement in the negative direction (i.e.,$-a_0$) is $Q$.

Class 11 Physics Waves and Sound Wave Equation and Characteristics of Waves

Medium

$A$ wave motion has the function $y = a_0 \sin(\omega t - kx)$. The graph in the figure shows how the displacement $y$ at a fixed point varies with time $t$. Which one of the labelled points shows a displacement equal to that at the position $x = \frac{\pi}{2k}$ at time $t = 0$?

A
$P$
B
$Q$
C
$R$
D
$S$

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Class 11

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Chapter

Waves and Sound

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Wave Equation and Characteristics of Waves

When a sound wave of wavelength $\lambda$ is propagating in a medium, the maximum velocity of the particle is equal to the wave velocity. The amplitude of the wave is:

DifficultTS EAMCET 2008

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The phase difference corresponding to a path difference of $x$ is

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$A$ transverse wave in a medium is described by the equation $y = A \sin^2 (\omega t - kx)$. The magnitude of the maximum velocity of particles in the medium will be equal to that of the wave velocity,if the value of $A$ is ($\lambda$ = wavelength of wave).

Difficult

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The phase difference between two points separated by $1 \ m$ in a wave of frequency $120 \ Hz$ is $90^o$. The wave velocity is .... $m/s$.

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$A$ transverse harmonic wave on a string is described by $y = 3 \sin (36t + 0.018x + \frac{\pi}{4})$,where $x$ and $y$ are in $cm$ and $t$ is in $s$. The least distance between two successive crests in the wave is .... $m$. (in $.5$)

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$A$ wave motion has the function $y = a_0 \sin(\omega t - kx)$. The graph in the figure shows how the displacement $y$ at a fixed point varies with time $t$. Which one of the labelled points shows a displacement equal to that at the position $x = \frac{\pi}{2k}$ at time $t = 0$?

Similar Questions

When a sound wave of wavelength $\lambda$ is propagating in a medium, the maximum velocity of the particle is equal to the wave velocity. The amplitude of the wave is:

The phase difference corresponding to a path difference of $x$ is

$A$ transverse wave in a medium is described by the equation $y = A \sin^2 (\omega t - kx)$. The magnitude of the maximum velocity of particles in the medium will be equal to that of the wave velocity,if the value of $A$ is ($\lambda$ = wavelength of wave).

The phase difference between two points separated by $1 \ m$ in a wave of frequency $120 \ Hz$ is $90^o$. The wave velocity is .... $m/s$.

$A$ transverse harmonic wave on a string is described by $y = 3 \sin (36t + 0.018x + \frac{\pi}{4})$,where $x$ and $y$ are in $cm$ and $t$ is in $s$. The least distance between two successive crests in the wave is .... $m$. (in $.5$)

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