(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 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 Questions

Class 11

Physics Questions

Chapter

Waves

Subtopic

Wave Equation and Characteristics of Waves

When a wave propagating in one medium enters another medium,which of the following characteristics remains constant?

Easy

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In a wave motion $y = a \sin (kx - \omega t)$,$y$ can represent

MediumIIT 1999

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Select the correct statement about the reflection and refraction of a wave at the interface between medium $1$ and medium $2$.

Easy

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$A$ travelling acoustic wave of frequency $500 Hz$ is moving along the positive $x$-direction with a velocity of $300 ms^{-1}$. The phase difference between two points $x_{1}$ and $x_{2}$ is $60^{\circ}$. The minimum separation between the two points is:

EasyWBJEE 2013

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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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$A$ 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 wave propagating in one medium enters another medium,which of the following characteristics remains constant?

In a wave motion $y = a \sin (kx - \omega t)$,$y$ can represent

Select the correct statement about the reflection and refraction of a wave at the interface between medium $1$ and medium $2$.

$A$ travelling acoustic wave of frequency $500 Hz$ is moving along the positive $x$-direction with a velocity of $300 ms^{-1}$. The phase difference between two points $x_{1}$ and $x_{2}$ is $60^{\circ}$. The minimum separation between the two points 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).

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