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

The figure shows four progressive waves $A, B, C$ and $D$ with their phases expressed with respect to the wave $A$. It can be concluded from the figure that

$A$ 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:

$A$ progressive wave of frequency $400 \ Hz$ is travelling with velocity $336 \ m/s$. How far apart are the two points on a wave which are $60^{\circ}$ out of phase (in $m$)?

The equation of a progressive wave is given by $y = a \sin \pi [\frac{t}{2} - \frac{x}{4}]$,where $t$ is in seconds and $x$ is in meters. The distance through which the wave moves in $8 \ s$ is .... $(m)$

$y=3 \sin \pi\left(\frac{t}{2}-\frac{x}{4}\right)$ represents an equation of a progressive wave,where $t$ is in $s$ and $x$ is in $m$. The distance travelled by the wave in $5 \,s$ is (in $\,m$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module