The figure shows four progressive waves A, B, | vedclass

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

Question

(B) The equation of wave $A$ is given by $y_A = A \sin(\omega t)$.From the graph,wave $B$ starts at its maximum positive value at $t=0$,so its equatio

Vedclass · Accepted Answer

The wave $C$ lags behind by a phase angle of $\pi /2$ and the wave $B$ is ahead by a phase angle of $\pi /2$.

Vedclass · Answer

(B) The equation of wave $A$ is given by $y_A = A \sin(\omega t)$.From the graph,wave $B$ starts at its maximum positive value at $t=0$,so its equation is $y_B = A \sin(\omega t + \pi/2)$. This means wave $B$ is ahead of wave $A$ by a phase angle of $\pi/2$.Wave $C$ starts at its minimum value at $t=0$,so its equation is $y_C = A \sin(\omega t - \pi/2)$. This means wave $C$ lags behind wave $A$ by a phase angle of $\pi/2$.Wave $D$ starts at $t=0$ with a negative slope,representing a phase shift of $\pi$ relative to $A$,so $y_D = A \sin(\omega t - \pi)$.Thus,wave $C$ lags behind by a phase angle of $\pi/2$ and wave $B$ is ahead by a phase angle of $\pi/2$.

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

Similar Questions

$A$ progressive wave is given by $Y = 12 \sin (5t - 4x)$. On this wave,how far away are the two points having a phase difference of $90^{\circ}$?

During the propagation of a plane progressive mechanical wave,which of the following statements is incorrect?

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

The equation of a progressive wave is $Y = 3 \sin \left[ \pi \left( \frac{t}{3} - \frac{x}{5} \right) + \frac{\pi}{4} \right]$ where $X$ and $Y$ are in metre and time in second. Which of the following is correct?

The equation of a progressive wave is given by $x = 1.2 \sin(314t + 12.56y)$. What are the wavelength and the direction of the wave?

Vedclass Test Series

Exam Paper Generator

Online Exam Module