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Pattern on screenConsider the following experiment where a student uses a laser and two slits in a mask to produce a pattern on the screen as shown in the figureFor...

Question

Pattern on screenConsider the following experiment where a student uses a laser and two slits in a mask to produce a pattern on the screen as shown in the figureFor each of the lettered points, determine AD (in terms of A): Note: Point C is at the center of the screen. All numbers will be positive. Where appropriate use 0.5 rather than 1/2Top view (not t0 scale)ScnenMask with 2 slitsAD for each fringeBECheckWhich points correspond to:Constructive interference? Explain_Destructive interference (n

Pattern on screen Consider the following experiment where a student uses a laser and two slits in a mask to produce a pattern on the screen as shown in the figure For each of the lettered points, determine AD (in terms of A): Note: Point C is at the center of the screen. All numbers will be positive. Where appropriate use 0.5 rather than 1/2 Top view (not t0 scale) Scnen Mask with 2 slits AD for each fringe B E Check Which points correspond to: Constructive interference? Explain_ Destructive interference (nodal lines)? Explain:



Answers

In the two-slit interference experiment of Fig. $35-10$ , the slit widths are each 12.0$\mu \mathrm{m}$ , their separation is 24.0$\mu \mathrm{m}$ , the wavelength is
$600 \mathrm{nm},$ and the viewing screen is at a distance of 4.00 $\mathrm{m} .$ Let $I_{P}$ represent the intensity at point $P$ on the screen, at height $y=70.0 \mathrm{cm} .$ (a) What is the ratio of $I_{P}$ to the intensity $I_{m}$ at the center of the pattern?
(b) Determine where $P$ is in the two-slit interference pattern by giving
the maximum or minimum on which it lies or the maximum and minimum between which it lies. (c) In the same way, for the diffraction that
occurs, determine where point $P$ is in the diffraction pattern.

And the youngest double slit experiment. What? I met the order Dark image. Our difference design of data is M minus R and to land up and 10 of data to be by a point. And why is the separation of the fridge from central bipeds And that is that the states of this pain from them centers so from equation? But data is signed and worse off Lambda by D for $50. Here M is given fight sign in verse five minus half baby 9500 and five nanometer upon distance D 0.1 to 7 dynamometer. So theater you will get 1.25 to 3. So why is from a question too? 10 of 1.0 to fight by upon and is given 1.25 m. So the distance of 50 old and right fringe from central bright individually 102 to 4 m. Right. That son. Yes. Sorry. There's a second part also. This is the answer of paper. I am extremely sorry about it. Condition for bright French design theater is going to end end up or in terms of frequency. So if the frequency of light increase fuck fringes to be absorbed with certain Yeah, of sort of education frequency to increase Mhm. Mhm. Yeah,

Hello, everyone. This is problem twice. Seven from Chapter 28. It says the interference pattern shown in the Figure party of the figure's produced by green light with a wavelength that's given to us Lambda equals 505 Miami years passing through two slits. The separation 127 micro meters. After passing through the slits, light forms a pattern of bright and dark spots on screen. Located 1.25 million slits. A what is the distance between the two vertical dashed lines? Okay, so if we go ahead and look at this figure, we see that there are basically six bright dots or six dots that indicate the bright spots I want to three for I've six like so something like that. And the dash lines go here and here through ah maximum. And then through a minimum over here, that's 12345 minimum. It's the fifth minimum to the right of this. This maximum. Okay, so it says, What's the distance between the lines? Well, we can use our our double slits equation for, um, minimal here because now we're being given Lambda and D and this problem and we can just count out our M because our M should be five and then using this using the single fado that we find here we can find the distance between the two using L attention to Florida. And so if we do this, so theta is just the arc sine off. Linda, Time's gonna defend mice 1/2 over D. This is approximately 1.0 to 5 degrees and then plugging that in here along with using the L. Given the problem, we guess 2.24 centimeters now all this was part, eh, Burt? Be ah says if it is desired to produce a more tightly packed interferes pattern, should the frequency of light be increased or decreased. So if we wanted the interference pattern to be more tightly packs, we would want sign of theater. Well, we would want fated to go down. They did to decrease Seita to decrease. And ah, if they did decreases, that means that the sign inflated decreases because our fate is just between zero and 90 degrees. So as stated decreases sign if they're decreases. So on this side must decrease. Um, of course. Ah, if we want this too tightly packed together. We'll think about leaving M the same and making fate of smaller. So animals the same deal stay the same because that's just ah, physical perimeter. And then ah, so that means that Lambda must go down. We're not asked about Linda were actually asked about F. But since F is equal to see over Lambda, this means that f must go up. So in order to do that frequency must be increased.

But even here it is, given that inclusive interference experiment the 26 off different big as mission. On the strangest thing, the amplitude off the wave for first split is and while for others it is three in but a we uproot justified that then density at any point is I know why by night the last four White Knight Also quite we'll be just you fight and be part We have to plot the graph off I and fight you're buying stuff is different. Let's see you of a delta in intensity for the phase difference off white Can we find it? But he rejected I'm thinking, baby, you bet it square unless you do it square mind That's even Ito going So why you made this point? Yeah, you But it's given me It was given to it We left you square for less for you square it becomes plus doing toe e Let's do it Got so quite so we can write It will be why e square, But less four square course right in density is defined Its how absolutely not. I see. He'd be square substitute seven you will get so the value from a question. But after a Nazi, you can die. Bye bye toe you sweat. What about you? You square are so fight for maximum intensity. Fights would be zero but maximum intensity, that is I just got toe I not Why must you be zero degree? So I know you will get absolute Nazi five by to eat square unless or by you You square or nine by two Absolutely not. C e square. So resulting intensity Campbell Internets I spell toe by using no question, but resulting in density at feet. Campbell Internets I not why you by night relents for my life course up fight! This is the answer up a part? No. In be part, we have to plot the graph between intensity and praise. Difference. So this is intensity and this is a fight. Minimum intensity is I'm not by nine. Here I am marking This is our minimum. And this is I'm maximum and I mix. You have, are you not? That's doctor for this

Of 1 35.34 So we're considering a double slit experiment. The distance to the screen is four meters. We're looking at a 0.20 and 1/2 centimeters off to one side of the middle. The slits are four microns apart our way. Think this 500 meters art, eh? We want to figure out where this point P is in the interference pattern by telling saying which maximum minimum, it's on or between. And then maybe we want to know what the ratio of the intensity is it our point to the intensity of the center. So the angle from point from the slits to whiten question are not answered. Uh, why over d This is this sort of trigonometry of the situation. This is too quite fine. Three degrees. So the phase difference and wave lengths Dean signed data overland. Uh, this is zero point 397 wavelengths. So says between the central maximum. But there's a zero wavelength difference and the first minimum where there is a 1/2 wavelength difference. Now we want to find the ratio of the intensities. So 0.397 wavelengths times to buy radiance her wavelength gives us phase difference of to plan for 95 radiance. And then we just put this into the relevant formula four times I not coast co sign squared bio or two. This will be for I know, huh? Co Sign squared zero is just one. And so the ratio that 0.10 one


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