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Aray of light (A =532 nm) strikes cm thick piece of flint glass (n=1.66) at an angle of 20" from the normal: Assume the glass is in air (nSketch this, showing ...

Question

Aray of light (A =532 nm) strikes cm thick piece of flint glass (n=1.66) at an angle of 20" from the normal: Assume the glass is in air (nSketch this, showing rav of light reflecting from the surface of the glass where the incident light strikes and ray of light entering the glass where the incident Iight strikes: Also show the norma to the surface of the glass where the incident light strikes.What angle does the reflected light make with respect to the normal?What angle does the refracted

Aray of light (A =532 nm) strikes cm thick piece of flint glass (n=1.66) at an angle of 20" from the normal: Assume the glass is in air (n Sketch this, showing rav of light reflecting from the surface of the glass where the incident light strikes and ray of light entering the glass where the incident Iight strikes: Also show the norma to the surface of the glass where the incident light strikes. What angle does the reflected light make with respect to the normal? What angle does the refracted ray of light make with respect to the normal? What the speed light as travels In the glass?



Answers

A ray of light strikes a flat, 2.00-cm-thick block of glass $(n=1.50)$ at an angle of $30.0^{\circ}$ with respect to the normal (Fig. P 22.18 ). (a) Find the angle of refraction at the top surface. (b) Find the angle of incidence at the bottom surface and the refracted angle. (c) Find the lateral distance $d$ by which the light beam is shifted. (d) Calculate the speed of light in the glass and (e) the time required for the light to pass through the glass block. (f) Is the travel time through the block affected by the angle of incidence? Explain.

Hello. So we're gonna use smells law for this. So you can see that we know the angle in the glass or which is the incident in the glass Just 62. So refractive index N. G. Of Glass Science Institute of course. Refractive index of them block santa. So we're looking for data uh we also know that the Waveland vacuum because the we've read in the last time the refractive index of glass or not a vacuum could also be quote um the refractive index and the block. I'm sorry that we've learned in the block times the refractive index on the block. Because these two are all londoner. Okay. We are equipped with equations and then you get something like this. Okay so this expression is from this cushion here and this is also from that. You see how the ratio N. G. Over N. B. Here on the left and ngong on the right. So we can equip them. And then uh you can find to Get data to be 44.8 degrees. Thank you very much.

Let me draw the block here. Uh, this is the block, right? And the thickness off the block is two centimeter. So the thickness off the blanc is two centimeter. And let me draw the normal on block. The normal ease aligned. It is perpendicular, uh, to the surface, to the surface of the medium. And here is the incident light. So this is the incident light? No. And this is angle of incidents and angle of incidence is equal to 30 degrees well, after the light enters in the medium light, the fact towards the normal right and this angle the angle between normal and refracted rays called angle of refraction. And let's go normal here. Right? And let's see this angle here is I do. Okay. Now we use Snell's law. Well, according to Snell's long sign off angle of incidents divided by sine off angle over a fraction is equal do and two divided by N one. We have incident angle equal to 30 degrees and then we have into will end to is 1.5 and in one is equal to one. We need to find out our which is the angle of refraction. Now sign of finger off incidents sign. Well, finger loop. So the diffraction is equal to sign off incidents divided by and to right, and this is equal to sign off. 30 degrees, divided by 1.5. And therefore, Anglo for a fraction is equal to signing worse in 20.333 which is a cool to 19 point for seven degrees. All right, now, from the figure, it is obvious date. Um, here, um, I tour is also equal to 19.47 degrees because I two is equal to Anglo for a fraction because both are ultimate ing angles.

Going to solve a problem. Number of 16. So as we see at the cracker P 25 points 16 So we can get that from And one sign the the one equal. And to sign that too. So see that too Equal sign. Earn verse in one sign later. One over and to so data to will be equal sign. Earn verse one Bye sign. 30 over one 0.5 Sources will be equal 19.5 degree. So to do geometric geometrical optics you must remember some German. The surface is off entry and exit our barrel So they're normal art barrel, then angle. Think that too. Angle data to oh for friction at entering under the angle data three off incidents at exit Our alternate interior angles form for me, so well, uh, by very as a trance reversal cutting battle lines so we can get a conclusion as we see Data three equal data to equal 19.5 degree. So by substitution 1.5 sign data three equal. One sign data for so data for will be equal. 30 story, 30 degree. Thanks for watching

Let us 1st draw the Diagram. We have three medium. The first one is here, The Middle one is class, and the last one is water. The first light will come like this, and then in water in glass which will move a bit towards the normal. Then in here it will move away from the norman. The letters draw the perpendicular than This. one is the first. This one is the second. Let us do the angle angles That this angle is 2-1, This angle is 2- one. This angle is peter too, This angle will be teeter too, And this angle will be Twitter one. Now let's draw a perpendicular from here. And let's let us extend this line. So it will be like this, this is the perpendicular. Now let us name the .6 points at this point b. point a. And this point we point he, this is C. And this is the point B is nothing but the extended version of this normal, this is point B. Now, no, the angle of reflection for the past medium is here. So anyone is one and and two is and two is equal to 1.54 Glass and and three is equals two one more year. So no. From snail slow we can right and one scientist to one is equal to enter 20 tattoo. And from here we can find out scientist tattoo will be anyone That is one multiple. Where scientific Taiwan that is 35°, Divided by the end to it is one point by. And from here we get the tattoo is equals to 22.49 degree. So this is the angle made by the light in the glass 22.49°.. Let's move to part B. Of this problem. The city is the perpendicular distance between incident and the emerging from the glass barrel. And race so in triangle abc he can write. We can write asked to tattoo is equals two. You divided by is he You divided very easy. Or from here we can write A C. Is equals two. You divided where Wall Street tattoo. No from triangle abd he can bait time to italian ministry tattoo is equals two. You do divided very easy. But from here we get CDS equals two. Is he 97 ministry turtle anti title. So let us substitute the value of A C. Here. So we can rewrite this as cities equals two. You divided me 1st 2-2 when compared with then you haven't minus peter too. Let us substitute the values. The city will be questioned. This is the thickness has given us to. Mm He rented a costly tattoos. 22.49 degree. Multiplied with pain. The tavern is 35° When I see 30 is 22 for 90. After solving, We will get city is equals two 0.469. a.m. So this is a perpendicular distance, which we're acting our question.


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