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Light with frequency of 4 1014 Hz propagates is glass. What is the frequency, what is the speed of propagation and wavelength of the light; when the speed of light ...

Question

Light with frequency of 4 1014 Hz propagates is glass. What is the frequency, what is the speed of propagation and wavelength of the light; when the speed of light in vacuum is 3 . 108# the index of refraction of glass relative t0 the air IS nair glass = 1.5. Please, use the following approximation: take the speed of light in air same as it is in vacuum:

Light with frequency of 4 1014 Hz propagates is glass. What is the frequency, what is the speed of propagation and wavelength of the light; when the speed of light in vacuum is 3 . 108# the index of refraction of glass relative t0 the air IS nair glass = 1.5. Please, use the following approximation: take the speed of light in air same as it is in vacuum:



Answers

Light with a frequency of $5.80 \times 10^{14}$ Hz travels in a block of glass that has an index of refraction of 1.52. What is the wavelength of the light (a) in vacuum and (b) in the glass?

If the way this travelling in air, they were going to satisfy the equation. Speed of light is evil to the frequency times the wavelength in air, which is Lambda not and so we can use this equation to solve for landing on as long as we know the speed. Just feel like in the frequency. They give us the frequency and so we can plug in three times 10 to the eight meters per second and then the frequency is 5 20 Touch tend to the 14th hurts. And so this gives 517 meters and this is the wavelength in vacuum and its answer to party Her part B They're asking for the wavelength and glass. And so to do this, we're going to use this relationship. We're told what the index of refraction ists, and we just calculated what the wavelength in the vacuum is and so we can plug those two bags in this land and not in that in its 1.52 And this gives 3 40 nana meters. And so these two numbers here are the answers

Webs and of light in glasses given by Web sent in vacuum divided by refractive index off glass with 6 92 nanometer divided by 1.52 equals 4 55 nano meter to find the frequency off light in glass. Frequent. There were changes, so frequency of sided here will be the same. So we can do see over weapons off here to find the frequency off light in air, which will be the same as the glass. So that comes out to be three times 10 to the eight meters per second, divided by the West. 36 92 man a meter. So 10 to the negative nine meter that comes out to be for going 34 times, 10 to the 14 hearts.

Velocity off lighted water is given by speed off that I didn't vacuum, divided by reflectiveness of water with these three times, 10 to the aid meter per second, divided by if activities of water is 1.33 so that becomes to go into six instant. The aid, made up for a second now webs and in the water will be given by weathered in the vacuum divided by the refractive index of water, which is 515 nanometer, divided by 1.33 on that comes out to be 387 than the meter.

Okay, So for this question, with us to find the waving light both within a vacuum on the material and there's traveling through this is first I'm just gonna write down following former C to be equal to London UK is everyone should know this form very well. At this point, I'm and say the first part question it's in a vacuum. So you don't need to consider is gonna be one on no effect. So here was simply gonna write a steal of light, and we're told that it's 5.8 10 40 hurts that. Remember that frequency? Okay, you take this in. Fine. We get 517 Another meeting. Okay. Now the next. I am part of questions. You want to find this wavelength when it's traveling through the material, which in the states block of glass. Okay, Now you see the previous question that I've done a video. We did a quick derivation of this formula, but it's fairly self explanatory. So again, and this just says that the effective index of one material multiplied by the waving like is equal to their refractive index In another material times the way like in that material okay, we know that the first interview the vaccine, that's gonna be one. Forget that. What we're trying to find is this. Okay, Say we re arrange this. We find that London to London gonna be two original wave, then divided by refractive index of that glass, which we're told is a 1.52 So we're gonna get five 17 instead, my nine animated there, Okay? And we just divide that three, but, um, 1.5. Okay. And we find that we're gonna get 340 that make it point full clams. Morning, Stephan.


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