a-speaker-is-projecting-a-sound-wave-through-the-air-in-the-x-direction-the-energy-of-the-sound-wave

Question

A speaker is projecting a sound wave through the air in the $+x-$ direction. The energy of the sound wave is then increased. Which of the following best describes the resulting change to the wave?
(A) The frequency of the sound wave is increased.
(B) The air molecules move with greater velocity in the $+x-$direction.
(C) The air molecules oscillate through a larger displacement in the $yz$-plane.
(D) The air molecules oscillate through a larger displacement in the $x$-direction.

Vishal Gupta · Accepted Answer

Hi in the given problem, sound is traveling and long positive X axis and then its energy is increased. No. Yes the sound waves are longitudinal waves so their oscillations means oscillations of the particles of the medium will also be in the same direction off. The propagation of sound means along positive X. Access. No. As on increasing the energy amplitude of sound. Way will be increased. So we can stay here. The molecules of the medium oscillate through the larger displacements along X direction. So you can see here molecules of the medium or salads with larger displacement in X direction. Hands here, our option B is correct. Thank you.

Shoukat Ali · Answer

in this problem. We&#x27;re going to talk about changing the yuan. Quantities went in Greason pitch frequencies directly proportioned to the pitch so it will increase with the increasing peach. The increasing preach increases the frequency which in turns the president over Flint. The speed does not depend upon the beach, so it will remain. Send them. Did you know the wave also does Does not depends upon the beach, so it will also Romantsev.

Jayashree Behera · Answer

selects first, right? Oh, the generally question for a leave. So let&#x27;s say why the sequel toe. Why am Which is the magnitude or the displacement? Oh, uh, the live in my direction. Times sign off. Hey, X Minus omega t. So this equation can also very tennis. This is the displacement wave finds signing off. Can&#x27;t x minus on. You got d So in the book. Ah, this is St Question, Dex. Oh, mentioned. So I&#x27;m gonna go with this. And then s is the displacement from the y axis and the lesson is the amplitude off the displacement over the maximum value off this policeman X is the position on the X axis on dhe ti is tight, so legs first draw the leave. So let&#x27;s say this is one Waveland off a leaf, which means that this distance is equal to one. Waveland or Lambda now for the full Spartan were given that point A Is abdel maximum maximum displacement in the negative direction off taxes. Which means that this point is a because it&#x27;s Eve. This is on ex direction. And this is our white addiction. And why use the direction off displacement off our delta is. So we have a in the negative direction off displacement or negative direction off white. So this is a on dhe B is said to be at the Calabrian petition for this at this instant. So this point is be where the net displacement is. Zero r l s in Syria. So from here, we can say that the distance between A and B in the negative extradition ISS equally so a B is equitable Lambda over for me because there are four equal. These are four equal sections on the sum of to give Lando. So each section like from it. Toby, we care lambda over food. So we get slammed. I called four times. If the baby is the separation between point A and B and this is given Toby Cedar 0.15 meter. So we get Landa till the cedar 0.6 meters synthesis part, eh 95 b via toward that at another instant, we have see Toby at the maximum displacement in the positive direction, which means that C should be at some point like this on dhe point D or molecule D. So a B C D r molecules on molecule is at its maximum displacement in the negative direction. So Mollica Lee has the same position as T. But we&#x27;re considering some other instance like a envy Ocasek Time P on cnd a course that 90 dish. So they are different instance off time that we&#x27;re talking about. So similarly, we can say that this distance CD is actually 1/2 off available. Um, because there are two sections involved toe quarter sections off Levelland involved. So CD is twice off Landover four because each section, as I said, is 1/4 off ever. So there are two factors. See, Toby Cito the recalibrate equilibrium position. And then from the equilibrium position, tow the price off. Landau was four, and this is equal to Landover. Come here. We can&#x27;t lander Toby trying soft the separation between molecules cnd and this is given. Toby, I see your point. She meet that Saudi Ah, this is given to be zero point 15 meter. So we get lander to be set upon entry meter. So this is land off the second. But so now that we have longer, we can find frequency. So we know that frequency is given by velocity or speed off sound over Waveland. Off sound. This means that yeah, so? So this means that we can pluck all these values off Landa along with the speed off sandwiches She 43 mutable a second on DDE You can find the frequency for the top two spots. So plugging the on Landa In this a question. We get frequency, Toby 5 72 hearts and doing the same for this value off Landa We get frequency, Toby 11 44 hearts on dhe notice that is a constantly Avi is the speed of someone and off since we don&#x27;t have a change off medium So he&#x27;s a constant in both off the cases and have this value off on 3 43 meters per second.

Mayukh Banik · Answer

The speed of the sound wave is given by Omega Over K equals 3.14 times 10 to the four second inverse divided by gays, 91.54 maitre&#x27;d verse and that comes out to be 3 43.0 toe meter per second. Maximum speed off the air. Mod accuse is given by Omega Times. Maximum displacement. Omega is 3.14 times 10 to the four second inverse times. Masterman displacement is five Nana meter So that comes out to be there is just right the nanometer Toby times 10 to the negative nine meter. So from here we find the maximum speed. Toby, 1.57 times tender than 84 made it for a second hard 1 57 micrometer for a second. The maximum acceleration is Omega Square s max. So that would be 3.14 times 10 to the four second inverse square of that times five times 10 to the negative nine meter. And that comes out to be 4.93 meter. But second squared

Sandro Maludze · Answer

so the displacement for which molecules is given molecule it is let it is located at X. Ah, it&#x27;s displacement is car saying okay, X minus Omega T plus fight. And we know that molecule one which is located that X one tool meters. His has maximum displacement Maxim Positive displacement off six centimeters. So is X one. It&#x27;s some moment to Tina is six No, no meters and it is maximum displacement. So that means that s a M is six our nano meters. And if you will look at this function, this is car sane and car saying becomes Maxine when argument is zero r two pi r for Piper which was zero for synchronicity. So this argument here is zero. And at this point at this moment, so k x one minus only the teeth known. Plus if I see Oh yeah, because we know that the molecular at this point and at this moment has maximum displacement. So that means that causing has Maxine while you and coursing hiss maximum value. When it&#x27;s argument in CEO, I think this is the current condition for the first molecule and four for the second molecule. We have X toe is located it good 0.7 commuters and it&#x27;s displacement is at this point, uh, at the same moment, Tino ese the point Oh, nano meters. And the equation for s is the same s so we can write 6.0, I know meters instead of his name because we know that this is the maximum displacement course saying, okay, x two. Mine&#x27;s good to know less. Fine. Because this is a general, uh, general equation for each molecule. And from the first condition, we can write it these parts minus only that, you know, plus fate is miners minus K x one. If we move this, cakes were until the other side it becomes minus okay, X warn and we can replace. This are right here minus cakes. One because of the this condition. So we can write that two I want I wouldn&#x27;t want to write these zeros here. So too, is six car sane. Okay, x two minds cakes one and this means is called. Co sign is 1/3. Let me continue here. So we get crossing k x two minus cakes while he&#x27;s quite 1/3. And from here Kay extra mane 61 He&#x27;s are concerned 1/3 which is 1.20 serene and k K x x one minus six toe cheese, ext. Room minus X twenties, 0.7 meters. So we get kay 1.23 or is your point they are selling, which is 17. Find meter minus one and we need to find what is the frequency. So we need the relation between frequency and the way Director Kate and this relation is like que ese to cry over lambda Well, on, uh, use wave wings. And we also know that the wailing he&#x27;s see over frequency where sees the speed of sound. And we can replace Lambda and bigger to buy if oversee, see these 343 meters per second. We can use this number. And from here we can find what is frequency frequencies? C k Over too high. We have already found What is kay? 17.5. Great fun. And once we plug this number here we get We couldn&#x27;t see nine her and read 59 97 parents

Salamat Ali · Answer

when light enters from air to the water following property exchange. So the speed off their light to changes and your spirit off light changes frequency demands the same. So the land I should also change. Therefore, option C and D are the right answers.

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