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Fundamental mode$ Nd: YAG laser operating inthe table in ouput at 106Ynm , complete the following gives Per E photon each energy uni j | eV cm nm 42 1064...

Question

Fundamental mode$ Nd: YAG laser operating inthe table in ouput at 106Ynm , complete the following gives Per E photon each energy uni j | eV cm nm 42 1064

fundamental mode$ Nd: YAG laser operating inthe table in ouput at 106Ynm , complete the following gives Per E photon each energy uni j | eV cm nm 42 1064



Answers

Energy of a Photon What is the energy, in eV, of the photons produced by a laser pointer having a 650 -nm wavelength?

This question belongs to the modern physics in which we have a semiconductor laser which is producing continuously, A power P equals to 10.0. What beam with wavelength lambda equals to 2.4 micro meter. So for the part of the question we have to determine the energy of each photons. So E for the fourth tone, it is equal to at sea Belinda. So we have value for the lambda. So substituting values so we get H, which is Planck's constant 6.626 molecular by 10. To the power minus 34 june 2nd molecular by sea, which is still of light. So 3 to 10 to the power eight m per second divided by lambda, Which is 2.4 manipulated by 10 to the power -6 m. So from here after solving we get energy of each foot on E. It is equal to 8.28 manipulated by 10 to the power -20 jewel. So this becomes the answer for the part of the problem. Now, for the part B, we have to determine the number of photons amateur per second, so number of photons Amateur per second. This can be calculated by taking ratio of power to the energy of each photons, so we can substitute the values. So power is 10. What developed by energy of each photon, it is 8.28 manipulated by 10 to the power minus 20 jewel. So from here, number of photons Amateur per second, it is equal to 1.21 manipulated by 10 to the power 20 photons per second. So this becomes the answer for the part B of the problem.

It is given their argon laser emits 1.49 times tended a power 19 for Ron's Corsican So vo number off four dawns and read it horse again is you Kal Toh that is in a bomb T equal to 1.49 times Attended a power 19 four dawns Bar sigan So it is us to give in there half of the photo tones have ever lend off four Anti a nanometer and rest half are the four tones ever lend off five 14 point five No matter no Here we held in Lishan form energy for tone that is energy off a single photon is equal to longs Cost in terms city relied upon well, lend our the foot on This is a relation far And now the offer single foot on so far And for Don's we hell energy that is totally not equal Toe end times at sea upon Welland Espo worries And now the d word in in a time. So the hell what were equal to energy upon time. So by putting an hour here we have an edge see upon Ireland upon time. So we help our equal to in a Ponti in tow. It's you, bon Roland. So this relation for for hear any number off for Don's pizza time edges? It belongs content. See the City of light and leme dies violent. Now we can use surgical colored No, What we're produced by well are or do is to buy photons having we learned Linda one equal to four again Time standard of our minus nine meter. So we have the one equal to in Avanti Anna von d Indo s e a bon Moreland here and that is half off. The photons, which is one point for nine times, attended a power nine. Dean upon I do in tow at his bronze Constant having well you off seeks a point 63. I am standing up our minus 34. You'll see again into sapyta varieties two times two ended up our aunt meter parts again upon Welland. Off no photons is four Indian dimes inedible are minus nine minus nine meter. Here we have an appointee that is number off for Don's immediate in once again and it is given that the number of photons immediate in once again is 1.4 times standard a power 19 and half off. The photons, having violent off four in 10 times, tended a power minus nine meter. So we have an appointee equal to 1.4 nine times standing up. Our 19 upon to that is having unit for down upon it's again so often multiplying all these values. And we help our off these photons equal to she point 0 to 5. What now we want to conclude polar produced by rest half of the rest half of the four tones. So yeah, we wanted find Bauer produced by or don't saving were let off 514 0.5 times tender puller minus nine Mita. So here we have B two equal to Anna Ponti. I'm rough for tones, immediate Brian time in tow, etc. Upon Roland, my wife put in different values here. And a Ponti that is number off for Dan's emitted in once again. Ah, having will lead to Linda too. Is 1.49 times tendered a bowler and 19 upon I do. There it is. Parts again. Photons. Corsican into Well, you are bitches. Six acquired 63 times tended a power minus 34 and speed of light is three times tendered a while and meter per second upon Maryland. Off these four dances five 14 point five times Standard A power minus nine Mita. So, after completing the hell power off these help of the photons equal to do white and five What? No, we want to calculate that would help our delivered by on these four tones. So we help. No, don't power really cool too. Our delivered by first half of the photons, plus power delivered by rest. Half of the photons. So here we have. B one is equal to 3.3 Wife. What? Pull us be to equal toe. Do bite. And it what? Good point entered. So here we help we do it equal toe. No point to bite white. And don't Hey, what? So by adding these two numbers the hell uncynical too. Five point 91 five, which is equal to five point 92 What therefore option sees gripped

Okay, so in this problem, for the first part, we need to look at intensity. So considering the fact that this is the exact same laser, except we're shooting photons of different wavelengths in there the the lasers air hitting the metal for the same amount of time, there's actually means the intensity is the same. So the same number of electrons are hitting when you're shooting. Are the same number of electrons being released and the same number of photons from the laser are hitting the metal for each of the two lasers the yellow laser, the 560 Nam eater and the blue laser, the 450. So for a SE same And for B, we need to think about the energy of the lasers. So we know that the kinetic energy of the switch to different colored candy and take energy of the ejected photons is directly proportional to the amount of energy the incoming. That wasn't very pretty directly proportional to the energy of the incoming photons. So we'll say energy of the photons was a P. It's directly related to the energy of the kinetic are the electrons can energy electron so the energy, the photons for the two wages. This is what's gonna be different. So we know that the energy of folks on is equal to Plank's constant times the speed of light divided by the wavelength of the particles. So in order to have higher energy, we actually need a lower wavelength because the wavelength is in the denominator. So it's gonna when you divide by a smaller number, you actually end up getting a bigger number. So as wavelength increases, the energy of the photons decreases. Thus, the energy of the kinetic energy of the ejected electrons decreases as well. So when we look at that, the wavelength of the two laser beams, we see that the blue laser has the wavelength of 450 and the yellow laser has a waving to 5 60 So that means the blue wavelength causes mawr electrons to be ejected from the piece of metal. But this number of electrons of the number of pro photons hitting both pieces of metal in part a are the same due to this fact that they have the

In this problem, the power output of the laser is given by P is equal to E by T. As we all know that E equal to N. F. C. By linda. All by the. On solving it further, I can write the value A. P. Equal to and bitey multiplication at sea by linda. So finally I can write the value of and by T equal to P linda by at sea putting the value here I can write the expression for N by T. Is equal to P. That is for multiplication 10. To depart minus three. What? Multiplication limb died. 632 632 pointed multiplication 10 to the power minus nine m. Bye. Hc. So the value of A.T. to 6.625. Multiplication 10 to the power minus 30 ft Jules. Again multiplication three, multiplication 10 to the parade meter. First again on simplification, I get the value of N by T. Is equal to 1.27 Multiplication 10 to the power 16, Then to the ball. 16, Fortuyn's once again as the answer


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