Embibe Experts Solutions for Chapter: Wave Motion, Exercise 1: Exercise 1

The equation of a wave is represented by $y={10}^{-4}\sin \left(100t-\frac{\mathrm{\pi }x}{10}\right) \mathrm{m}$, where $x$ and $y$ are in $\mathrm{meter}$ and $t$ in $\mathrm{second}$, then the velocity of the wave will be

The equation of a progressive wave is given by, $y=a\sin (\omega t-kx)$. Then, which of the following equations is not correct?

The displacement represented by, $y(x\text{,} t)=a\cos (kx+\omega t)$ represents,

A wave is represented by, $y=3\sin 2\pi \left(\frac{t}{0.04}-\frac{X}{0.01}\right) \mathrm{cm}$. The frequency of the wave and the maximum acceleration under this frequency are,

The equation of progressive wave is, $y=0.02\sin (30t-4x)$ where, $y$ and $t$ are in $\mathrm{meter}$ and $\mathrm{second}$. Then, the velocity of wave is,

The equation of a progressive wave is, $y=10\sin \pi (0.01x-2t)\mathrm{cm}$. The value of frequency in $\mathrm{Hz}$ will be,

The equation of a progressive wave, $y=a\sin \left(400\pi t-\frac{\pi x}{0.85}\right)$, then its velocity will be,

A transverse stationary wave passes through a string with the equation $y=10\sin \pi (0.02x-2.00t)$ where $x$ is in meters and $t$ in seconds. The maximum velocity of the particles in wave motion is