The figure represents the instantaneous pictu | vedclass

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

Question

(B) For a wave travelling in the negative $x$-direction, the velocity of a particle at any point is given by $v_p = -v \cdot (	ext{slope})$.Here, $v$

Vedclass · Accepted Answer

$d, e, f$

Vedclass · Answer

(B) For a wave travelling in the negative $x$-direction, the velocity of a particle at any point is given by $v_p = -v \cdot (	ext{slope})$.Here, $v$ is the wave speed (positive value) and the slope is $\frac{dy}{dx}$ at that point.For the particle to move in the negative $y$-direction, $v_p$ must be negative.This implies that $-v \cdot (	ext{slope}) Looking at the graph, the slope is positive in the regions where the curve is increasing (going upwards from left to right).These regions correspond to the points $d, e, f$.Thus, the points $d, e, f$ are moving in the negative $y$-direction.

Similar Questions

$A$ transverse harmonic wave on a string is given by $y(x, t) = 5 \sin (6t + 0.003x)$,where $x$ and $y$ are in $cm$ and $t$ is in $s$. The wave velocity is $...........\,ms^{-1}$.

$A$ wave equation is given by $y = 10^{-4} \sin(60t + 2x)$,where $x$ and $y$ are in $meters$ and $t$ is in $seconds$. Which of the following statements is correct?

$A$ progressive wave travelling along the positive $x-$ direction is represented by $y(x, t) = A \sin(kx - \omega t + \phi)$. Its snapshot at $t = 0$ is given in the figure. For this wave,the phase $\phi$ is

The speed of a wave in a medium is $760\, m/s$. If $3600$ waves are passing through a point in the medium in $2$ minutes, then its wavelength is ...... $m$.

The equation $y = A \cos^2 \left( 2\pi nt - 2\pi \frac{x}{\lambda} \right)$ represents a wave with

Vedclass Test Series

Exam Paper Generator

Online Exam Module