The diagram below shows an instantaneous posi | vedclass

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

Question

(D) The particle velocity $v_p$ of a point on a string is given by the relation $v_p = -v 	imes (	ext{slope of the graph at that point})$, where $v$

Vedclass · Accepted Answer

$\downarrow$            $\uparrow$             $\downarrow$

Vedclass · Answer

(D) The particle velocity $v_p$ of a point on a string is given by the relation $v_p = -v 	imes (	ext{slope of the graph at that point})$, where $v$ is the wave speed.Since the wave is traveling from left to right, the slope determines the direction of the particle's motion.At point $1$: The slope of the curve is positive. Therefore, $v_p = -v 	imes (	ext{positive}) = 	ext{negative}$, which means the velocity is downward $(\downarrow)$.At point $2$: The slope of the curve is negative. Therefore, $v_p = -v 	imes (	ext{negative}) = 	ext{positive}$, which means the velocity is upward $(\uparrow)$.At point $3$: The slope of the curve is positive. Therefore, $v_p = -v 	imes (	ext{positive}) = 	ext{negative}$, which means the velocity is downward $(\downarrow)$.Thus, the directions are $\downarrow, \uparrow, \downarrow$ respectively.

The diagram below shows an instantaneous position of a string as a transverse progressive wave travels along it from left to right. Which one of the following correctly shows the direction of the velocity of the points $1$, $2$ and $3$ on the string?

Similar Questions

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 meters and time $t$ is in seconds. Which of the following is correct?

Which of the following is not true for the progressive wave $y = 4\sin 2\pi \left( \frac{t}{0.02} - \frac{x}{100} \right)$,where $y$ and $x$ are in $cm$ and $t$ is in $sec$?

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 .... $(m)$

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

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?

Vedclass Test Series

Exam Paper Generator

Online Exam Module