The figure represents the instantaneous snaps | vedclass

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

Question

(C, D) For a wave traveling in the negative $x$-direction, the velocity of a particle at any point $x$ is given by $v_p = -v \cdot (	ext{slope})$, wh

Vedclass · Accepted Answer

$c$

Vedclass · Answer

(C, D) For a wave traveling in the negative $x$-direction, the velocity of a particle at any point $x$ is given by $v_p = -v \cdot (	ext{slope})$, where $v$ is the wave speed and the slope is $\frac{\partial y}{\partial x}$.Since the wave is moving in the negative $x$-direction, $v$ is negative. Thus, $v_p = |v| \cdot (	ext{slope})$.Therefore, a particle moves downwards $(v_p Looking at the graph:- At point $a$, the slope is positive, so it moves upwards.- At point $b$, the slope is zero (it is a crest).- At point $c$, the slope is negative, so it moves downwards.- At point $d$, the slope is negative, so it moves downwards.- At point $e$, the slope is positive, so it moves upwards.- At point $f$, the slope is zero (it is a trough).- At point $g$, the slope is positive, so it moves upwards.- At point $h$, the slope is positive, so it moves upwards.Thus, points $c$ and $d$ are moving downwards.

The figure represents the instantaneous snapshot of a transverse harmonic wave traveling along the negative $x$-axis. Choose the correct alternative(s) related to the movement of the points shown in the figure. The point(s) moving downwards is/are:

Similar Questions

$A$ transverse wave is represented by the equation $y = y_0 \sin \frac{2\pi}{\lambda} (vt - x)$. For what value of $\lambda$ is the maximum particle velocity equal to two times the wave velocity?

$A$ transverse wave is represented by $y = A \sin(\omega t - kx)$. For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

$A$ travelling wave passes a point of observation. At this point,the time interval between successive crests is $0.2 \ s$. Which of the following is true?

An observer on a sea-coast counts $45$ waves in one minute. If the wavelength of the waves is $7 \ m$,then the velocity of the waves will be (in $m/s$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module