The pattern of standing waves formed on a str | vedclass

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

Question

(B) The time period of the wave is $T = \frac{1}{f} = \frac{1}{256} \, s \approx 3.906 	imes 10^{-3} \, s$.The standing wave oscillates between the e

Vedclass · Accepted Answer

$10^{-3}$

Vedclass · Answer

(B) The time period of the wave is $T = \frac{1}{f} = \frac{1}{256} \, s \approx 3.906 	imes 10^{-3} \, s$.The standing wave oscillates between the extreme position (shown at $t=0$) and the mean position (where all particles are at zero displacement,shown at $t=?$).The time taken to go from the extreme position to the mean position is an odd multiple of a quarter of the time period,i.e.,$t = (2n+1) \frac{T}{4}$ for $n = 0, 1, 2, \dots$.Calculating the possible values:For $n=0$: $t = \frac{T}{4} = \frac{1}{256 	imes 4} = \frac{1}{1024} \approx 0.976 	imes 10^{-3} \, s \approx 9.8 	imes 10^{-4} \, s$.For $n=1$: $t = \frac{3T}{4} = 3 	imes 0.976 	imes 10^{-3} \approx 2.928 	imes 10^{-3} \, s \approx 2.9 	imes 10^{-3} \, s$.For $n=2$: $t = \frac{5T}{4} = 5 	imes 0.976 	imes 10^{-3} \approx 4.88 	imes 10^{-3} \, s \approx 4.9 	imes 10^{-3} \, s$.Comparing these with the given options,$10^{-3} \, s$ is not a possible value.

The pattern of standing waves formed on a stretched string at two instants of time (extreme,mean) are shown in the figure. The velocity of the two waves superimposing to form stationary waves is $360 \, ms^{-1}$ and their frequencies are $256 \, Hz$. Which is not a possible value of $t$ (in $\sec$)?

Similar Questions

The distance between the nearest node and antinode in a stationary wave is

The equation of a standing wave in a string fixed at both ends is given as $y = 2A \sin kx \cos \omega t$. The amplitude and frequency of a particle vibrating at the midpoint between an antinode and a node are respectively:

In case of a stationary wave pattern,which of the following statements is $CORRECT$?

“Stationary waves” are so called because in them

Vedclass Test Series

Exam Paper Generator

Online Exam Module