The equation of a progressive wave is y = 0.2 | vedclass

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

Question

(A) The standard equation of a progressive wave is $y = A \sin (\omega t - kx)$.Given equation: $y = 0.2 \sin \left( \frac{2\pi t}{0.01} - \frac{2\pi

Vedclass · Accepted Answer

$30$

Vedclass · Answer

(A) The standard equation of a progressive wave is $y = A \sin (\omega t - kx)$.Given equation: $y = 0.2 \sin \left( \frac{2\pi t}{0.01} - \frac{2\pi x}{0.3} ight)$.Comparing this with the standard form,the angular frequency $\omega = \frac{2\pi}{0.01} 	ext{ rad/s}$ and the wave number $k = \frac{2\pi}{0.3} 	ext{ rad/m}$.The velocity of propagation $v$ is given by $v = \frac{\omega}{k}$.Substituting the values: $v = \frac{2\pi / 0.01}{2\pi / 0.3} = \frac{0.3}{0.01} = 30 	ext{ m/s}$.

The equation of a progressive wave is $y = 0.2 \sin 2\pi \left[ \frac{t}{0.01} - \frac{x}{0.3} \right]$,where $x$ and $y$ are in meters and $t$ is in seconds. The velocity of propagation of the wave is .... $m/s$.

Similar Questions

$A$ progressive wave of frequency $50 \,Hz$ is travelling with velocity $350 \,m/s$ through a medium. The change in phase at a given time interval of $0.01 \,s$ is

$A$ plane progressive wave propagating along the positive $x$-axis is represented by:

The equation of a progressive wave is $y = 0.02 \sin 2\pi \left[ \frac{t}{0.01} - \frac{x}{0.30} \right]$. Here $x$ and $y$ are in $m$ and $t$ is in $s$. The velocity of propagation of the wave is .... $ms^{-1}$.

$A$ progressive wave of frequency $50\text{ Hz}$ is travelling with velocity $350\text{ m/s}$ through a medium. The change in phase at a given time interval of $0.01\text{ s}$ is

For a progressive wave given by the equation $y = 4 \sin \frac{\pi}{2} (8t - \frac{x}{8}) \, cm$,what is the wave velocity and its direction?

Vedclass Test Series

Exam Paper Generator

Online Exam Module