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A sound is produced by plucking a string in musical instrument, then(a) the velocity of wave in the string is equal to velocity of sound in the string.(b) the frequ...

Question

A sound is produced by plucking a string in musical instrument, then(a) the velocity of wave in the string is equal to velocity of sound in the string.(b) the frequency of the wave in the string is eque to the frequency of the sound produced.(c) the wave in the string is progressive.(d) the tension in the string varies from point 10 point.

A sound is produced by plucking a string in musical instrument, then (a) the velocity of wave in the string is equal to velocity of sound in the string. (b) the frequency of the wave in the string is eque to the frequency of the sound produced. (c) the wave in the string is progressive. (d) the tension in the string varies from point 10 point.



Answers

A sound is produced by plucking a string in musical instrument, then (a) the velocity of wave in the string is equal to velocity of sound in the string. (b) the frequency of the wave in the string is eque to the frequency of the sound produced. (c) the wave in the string is progressive. (d) the tension in the string varies from point 10 point.

So a riling string postulates with the fundamental frequency off 920 hertz. And we know that the string has, um, a mass eight million girls or eight toe attend to them. My, uh, my seeks kilograms, and we also know the lengths off the string. He's 22 sentences meeting us. And the first question is, what is due? Velocity are both, uh, most of the way on the street. So for corniest betraying, we have, uh, the equation for, uh, frequency for fundamental frequency mode, which is Felicity over to L. And from here, we can find what is Willow City? So, Willis E t ese, uh, to l one, which is for 104 on eight meters per second. And then we need to find a detention on the stream. So we have a four formula for velocity for for a string which is square root from, you know, tension over must care unit links. And from here, we can find t uh, cheese. I am re squared over l. And here everything is known. We have just found what is we So we can calculate t attention, which is 500 95 point 87 neutered. And then we just need to find out uh, the wavelengths, uh, off away, which is propagating a long string. So in General Wei Ling tze, that's cool. These, like string in generally tease velocity over frequency so well, no cities we under string and frequency is one. And once we plug these numbers here we get you're going to 44 meters. And the next question is, ah, what is, uh, the way length off a sound way created by this oscillating string. So, uh, this sound way, uh, would have the same frequency school? It's a sound. Ah. Has the same frequency because it is produced by this oscillation. But the speed of propagation speed of sound is different. So we have seen over a fun where C is street of sound in air. Uh, we have in the 40th sweetie frequency, and this is your point 373 meters

So there's two guitar strings and they have a beat frequency of two hertz. So that means the difference in frequency of these strings is too so like Maybe if this one's, you know, 300 hertz, this one to be 302 hertz or this could be the 302 and this could be the 300. I'm just making up those numbers, but I'm just show you don't know which one is higher. Which one's Loper? Oh, then it says that string A is tightened. Well, if you tightened something, think of what effect that has the last equal wavering Tim's frequency. And we talk about waves in a string. The velocity is the tension divided by the Mr Length. So if I increase attention by tightening it, you can tell, Um, that's not gonna change the string. It was That's not gonna change how long that's going to change. The frequency would also increase. So when I tighten it, that's going to raise the frequency. So if I'm tightening string A maybe, um, I don't know how much I taken it, but the beat frequency is now three. So here, if I tightened it now, would be a good three or one here if I tightened it. Now it's three or three. It's a knave, A beat frequencies is three Syrian Tell. This must have been the situation. Not this because it made it closer. This would only have a beat frequency of one now. So then the question was, which one initially had a lower frequency? It was this scenario, so it was string be.

What kind off with is each other falling? So we are looking over whether the wave is longitudinal are transfers. Okay, the for hate the sound off one. We're going to another oil while watching. So that is a sound wave. Right? Off course. The sound way. Uh, Andi, that travels like this. Abrasion on Greer Faxon. Compression on Drayer Faxon. Right, this is seat. This is our This is again Rear Faxon. So this is a legitimately the particles vibrate alone the or interesting or the direction off the week. So this is the direction of the way on the particle. Also vibrating along the direction of the week. Right on for part B, there is a pull send down stress drop. So the nearest considered This is a distress drop down. If you send a post in the den string, this is the horizontal is an office strength. So the stream will look like this. So was considered this more so. What you can see is the wave is traveling this way. We're as the by person off the stream is perpendicular to that. Right, So this is a kind of trance verse. Wait, because the vibration the vibration off the particles off the medium is perpendicular to the drinks. Um, off way. Okay. Now the virus is in a guitarist stream. It is the same right in a guitar string as well. Though my recent off, though off the string is vindictive there, too perpendicular to the drinks and off. Wait, So this is also our Trans versus Wade. Okay, so we're done with the class if it isn't off all these kinds of waves.

So, as the question says, when the guitar string is drop, the standing waves produced that causes sounding boto also late, with the large, sustained amplitude pushing back and forth against the surrounding air to generate sound. Now this means that the string on guitar is so string on guitar is the cause that air surrounding it is vibrating, so the vibrations are produced. Own the board off the guitar. It means that that boat oscillated the same frequency as the guitar string. Docile, it's on DDE. This oscillation are pushed into air, which is surrounding guitar. It means that air also will oscillate with the same frequency on DDE. Those frequencies traveled through air to our ear on, so we hear the same frequency produced as produced by the strings. So the frequency of sound well that we here is equal to this frequency of standing wave on the strength. So because the waves begin on this drink, which make ultimately vibrate, air surrounding it and the sound for places, too are here as some musical note, we hear it that sound. It means that the frequency offer string must be equal to the frequency off air with which is why vibrating or made to vibrate due to the guitar string. So the sound we hear is equipped frequency of sound that we hear is equal to the frequency of standing wave. Thank you.


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