Which of the following waves has the largest | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The general equation of a progressive wave is $y(x, t) = A \sin(kx - \omega t)$.The wave speed $v$ is given by the ratio of the angular frequency

Vedclass · Accepted Answer

$y(x, t)=3 \sin (2 x-3 t)$

Vedclass · Answer

(B) The general equation of a progressive wave is $y(x, t) = A \sin(kx - \omega t)$.The wave speed $v$ is given by the ratio of the angular frequency $\omega$ to the wave number $k$:$v = \frac{\omega}{k} = \frac{	ext{coefficient of } t}{	ext{coefficient of } x}$.Calculating the speed for each option:$(a)$ $v = \frac{2}{2} = 1.0 	ext{ m/s}$$(b)$ $v = \frac{3}{2} = 1.5 	ext{ m/s}$$(c)$ $v = \frac{2}{3} \approx 0.67 	ext{ m/s}$$(d)$ $v = \frac{2}{5} = 0.4 	ext{ m/s}$Comparing these values, the wave speed is largest for the equation in option $(b)$.

Which of the following waves has the largest wave speed?

Similar Questions

In a medium, the phase difference between two particles separated by a distance $x$ is $\frac{\pi}{5} \text{ rad}$. If the frequency of the oscillation of particles is $25 \text{ Hz}$ and the velocity of propagation of the wave is $75 \text{ m/s}$, then the value of $x$ is (in $\text{ m}$)

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

The equation of a wave travelling along the positive $x$-axis,as shown in the figure at $t = 0$,is given by:

$A$ particle performs $S.H.M.$ of amplitude $A$ and the wave has a wavelength $\lambda$. If $V$ is the wave velocity and $\nu$ is the maximum particle velocity,then they are related as:

If the wavelength of a wave is $\lambda = 6000 \mathring{A}$,then the wave number will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module