The equation of a plane progressive wave is g | vedclass

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

Question

(B) $1$. The incident wave travels in the positive $x$-direction,so the reflected wave will travel in the negative $x$-direction. This changes the sig

Vedclass · Accepted Answer

$y = -0.4 \sin 2\pi (t + x/2)$

Vedclass · Answer

(B) $1$. The incident wave travels in the positive $x$-direction,so the reflected wave will travel in the negative $x$-direction. This changes the sign of the $x$ term inside the sine function from $-x/2$ to $+x/2$.$2$. When a wave reflects from a denser medium,it undergoes a phase change of $\pi$ radians $(180^{\circ})$,which introduces a negative sign to the amplitude.$3$. The new amplitude is given as $2/3$ of the incident amplitude: $A' = (2/3) 	imes 0.6 = 0.4$.$4$. Combining these,the equation of the reflected wave is $y = -0.4 \sin 2\pi (t + x/2)$.

The equation of a plane progressive wave is given by $y = 0.6 \sin 2\pi (t - x/2)$. On reflection from a denser medium,its amplitude becomes $2/3$ of the amplitude of the incident wave. The equation of the reflected wave is:

Similar Questions

Which of the following statements is incorrect during the propagation of a plane progressive mechanical wave?

The equation of a progressive wave is given by $y = a \sin(628t - 31.4x)$. If the distances are expressed in $cm$ and time in seconds,then the wave velocity will be ...... $cm/sec$.

$A$ progressive wave of frequency $500 \,Hz$ is travelling with a velocity of $360 \,ms^{-1}$. The distance between two points, having a phase difference of $60^{\circ}$, is ............. (in $\,m$)

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?

$A$ progressive wave moving along the $x$-axis is represented by $y = A \sin \left[ \frac{2 \pi}{\lambda} (vt - x) \right]$. The wavelength $\lambda$ at which the maximum particle velocity is $3$ times the wave velocity is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module