A transverse wave is described by the equatio | vedclass

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

Question

A transverse wave is described by the equation,

$y=y_{0} \sin 2 \pi\left(f t-\frac{\pi}{\lambda}\right)$

The maximum velocity of particle

$v_

Vedclass · Accepted Answer

$\lambda  = \frac{{\pi {y_0}}}{2}$

Vedclass · Answer

A transverse wave is described by the equation,

$y=y_{0} \sin 2 \pi\left(f t-\frac{\pi}{\lambda}ight)$

The maximum velocity of particle

$v_{\max }=y_{0} .2 \pi f \ldots .(1)$

The velocity of wave,

$v_{	ext {wave }}=\lambda f \ldots \ldots(2)$

Given,

$v_{\max }=4 v_{	ext {wave }}$

$y_{0} 2 \pi f=4 \lambda f$

$y_{0} \pi=2 \lambda$

$\lambda=\frac{\pi y_{0}}{2}$

A transverse wave is described by the equation $y = {y_0}\,\sin \,2\pi \left( {ft - \frac{x}{\lambda }} \right)$ . The maximum particle velocity is equal to four times the wave velocity if

Similar Questions

A source of sound is travelling with a velocity of $40\,km/hour$ towards an observer and emits sound of frequency $2000\,Hz$ . If the velocity of sound is $1220\,km/hour$ , what is the apparent frequency heard by the observer ..... $Hz$

A flute which we treat as a pipe open at both ends is $34\, cm$ along. The fundamental frequency of the flute when all its holes are covered is .... $Hz$ [Take velocity of sound in air $= 340\, m/s$ ]

A closed organ pipe has a frequency $'n'$. If its length is doubled and radius is halved, its frequency nearly becomes

A small source of sound moves on a circle as shown in the figure and an observer is standing on $O.$ Let $n_1,\, n_2$ and $n_3$ be the frequencies heard when the source is at $A, B$ and $C$ respectively. Then

$y = a\,cos\,(kx -\omega t)$ superposes on another wave giving a stationary wave having node at $x = 0$ . What is the equation of the other wave