the-maximum-wavelength-an-electromagnetic-wave-can-have-and-still-eject-an-electron-from-a-copper-su

Question

The maximum wavelength an electromagnetic wave can have
and still eject an electron from a copper surface is 264 $\mathrm{nm}$ . What is
the work function of a copper surface?

Zulfiqar Ali · Accepted Answer

maximum prevalent equals 2 64 nanometers. Maximum babble int Lambda max equals 2 64 nanometers 2 64 nanometers equal to 64 multiplied by 10 to the power minus nine meters minus nine meters. We need to find out work function. Work function is unknown. Work function w is unknown. Well, we know date and Reggio foot on equals kinetic energy plus work function In this case, kinetic energy zero therefore, X f energy or foot on equals work function on DDE sold ing for f We have f equals f equals w divided by that excuse Uh, the planks constant well, we know they re equals F lander. We, in this case, is speed off light. Therefore, C equals F lender and F can be written in terms of sea and Lando. Yeah, and equals See divided by Lambda. Let&#x27;s substitute this value here in the work function equation. Therefore, we have c divided by, um CD by sea, divided by lender equals were function divided by itch and work. Function equals XY divided by landa No, let&#x27;s plug in the values we have actually have CVM lambda. Let&#x27;s plug in the values therefore were function equals 6.63 multiplied by identity power minus 34. Multiply by speed off light. Three. Multiply by 10 to the power eight. Divided by a lender. Lend vehicles to 64 multiply by 10 to the power minus nine meters minus nine and solving, multiplying and dividing. We get work function equals 7.5. Multiply by 10 to the power minus 19. Jules

Zachary Warner · Answer

are questions says that we have a photon with the wavelength Lambda of 489 for 485 nanometers, which is 485 10% of minus nine meters. Wants to know the work function of this metal. So the work function of the metal W not is equal to H time. See where h is. Planck&#x27;s constant C Is this beautiful? I divided by Lambda the wavelength of the proton that was omitted. Okay, so if we plug in our value for H, which is equal to 6.63 times 10 to minus 34 Jewell seconds value for C of three times 10 to the eight meters per second, we find that w not is equal to 4.1 times 10 to the minus 19 jewels. But we were asked to express our answer in units of electron volts. So to do that will convert it and use the conversion factor from electron volts to Jules. Well, one electron volt is essentially the energy of one electron in jewel, So one electron volt is equal to 1.6 times 10 to the minus 19 jewels So using this conversion, we find that this is equal to 2.56 electron volts weakened boxes in as the solution to our question.

Jayashree Behera · Answer

So in the first part, we need to find the the threshold Waveland. And in the second part, we need to find the work function for the surface on DDE in order to do that. So another defying the threshold of a blend. We can use the secure a shin bi. They weren&#x27;t cops assured. My blend is equal to speed off light over thresher frequency. Well, let&#x27;s call this a question one. So from here, we know that if we find the pressure on frequency, we can find the treasure pregnant. So in order to find the frequency, the special frequency, we will lose the following question they question for photoelectric effect. So maximum kind of dependency is given by total energy and hear the energy is at the official frequency minus what function So we can apply another condition here. Since we&#x27;re using special frequency, we know that official frequency maximum kind of deacon and zero because there are there may be a mission off for the electrons, but there is no kind of energy associate it with the admitted for prints. So thus this means that five is equal to the special energy, So we need to find fire in order to find the treasure frequency. Well, let&#x27;s call this the question too. We will need to use this later. Not a fine fight. The war function. We will use the following a question. This is also a question for photoelectric effect, but he hadn&#x27;t had the kind of energy expressed in terms Self to stop input in shit. And this is equal to the energy off the foot off energy off flight, our energy or four dawns minus work function. So the first question for for the electric threat we solved it for the fish old case. And this The second question is for any general case. So this means that fight is equal to H. L. A. Times even not really not is to stop input in ship on dhe. We also know that from this a question. No, that frequency is C over lambda. And this is the same a question that we used you on. Apply it it for attrition case. So now we have all the information that being, uh now we have all the information I need to solve this equation, so we know. Blank constant. 6.626 times 10 to the minus 34 June 2nd speed off light is three times 10 to the part eight meters per second. Landa is give in to be do 54 nano meters to 54 times 10 to the barge minus eight. So minus nine meters on dhe the knot is stopping potential and that&#x27;s the event of the zero point 181 bulls. And one last thing charge off the electron and act is nine point Oops, that is yes, nine. Okay, so we don&#x27;t need that because ah ee times with will have this After multiplying it with the charge off electron. We will have it in units, sell fools. But we can just keep e as it is. And then we will have this evening not expressing terms off electrons. Hold on. We know that one electron volt is 1.602 times tended apart minus 90 angels. So we need to convert this factor with this in orderto have this factor. If you&#x27;re not expressed in terms of Jews because we&#x27;re using, it&#x27;s the plan constant in units off too. So in orderto in order for our units to be consistent we need to solve this. Uh, we need to have the evening knock the stopping potential energy in terms off, toots. So not substituting all these values You should get fight, Toby. 7.53 times 10 to the minus 19 Duits. So now we have the world function off the surface. Let&#x27;s convert this into units off electron volts. We already have the construction, so we just need to divide this factor over here. So that will give us so ready to divide 7.5 string by Ah, the value off by the conversion factors. So this is in jewels on, and we have This is Jules Spot Electron Board. And that should give us fire in units off electron volt. And that is to go to 4.7 electrons. As you can see, this is there going to himself? Electron volts. So, yeah, that&#x27;s the reason. Read, Inc. Ah, substitute of reading plug of the charge off in over here and multiply died with the stopping potential because we need this unit to be expressed in terms off electrons all so that we can convert this electron holding two jewels and soft. I question so Now we have to stop in pretension. That is a great in part B so that Stan said to Bart, be on Dhe after having fight, we can find a special frequency by using a question, too. Still again. Ah, the value off Etch that we&#x27;ll be using here should be in units off electron bulls. So instead, off converting edge into electoral holes, you already have fire in units off juice. It&#x27;s called this a question so vividly. Was this value of Phi on Substitute this along with this value off each any question toe. So that will give us the Christian frequencies that physical to fly, explicit in dorms off Jos on. Then Etch expressed in Tom&#x27;s off Do says then jewels on seconds and harder for units to be consistent. And this gives frequency Toby 1.14 times 10 to the 5 50 notes. You can choose toe news this value of five that is experienced in Don&#x27;s off electron ball, but make sure you use the value off edge in dance off electrical as well, or convert this unit off. H convert this value off it in tow. Electricals by using the conversion so Either way, you should get this thing resolved. So that&#x27;s over the treasure frequency. And then we can plug this back into question one on. Find the special wavelength. So that will give us the Waveland. Toby called open 164 times 10 to the minus seven meter. Andi, this is equal toe to 64 9 millimeter. So that&#x27;s dancer to the first part where we need to find the treasure. Ambivalent this instance it to the second book now by checking table 38.1. Well, there&#x27;s so in part, we have to compare that our calculated value off work function with the one that&#x27;s given in table 38.1. So we compare that by taking the value from party on dhe. We see that the calculated value off the war function agrees with the corporate work function value in the table. So this means our metal here is accomplished. Thank you.

Sanjeev Kumar · Answer

careful Einstein approach that energy balance opening the tomb under senses that received the energy here for 41 which is the maximum. Is it closed? Two years minus. Right now we know that the photo arrived at the matters are present. Each four don&#x27;t give off all of its energy to only one electron on the matter surface. And for the final energy Google Right there. You have visible to edge off. Okay, Two men, people plug in this question. They have mentioned the value of fire 3.2 will open world, while K maximum is zero. No meter from here. We will get there to Theo is because toe edge t upon lambda, which is the A minus right now. From here, you will find the value of plunder. That is not English. Have C of one fight at the of one fight here now at just 6.6 in tow renders Tokyo minus 34. Multiply 33 in tow, diligently into general strip. Operate speed off. Right. While five, which is 14 and six. Inter gender. Sopore minus 19 multiplied. We want to its electoral war, so we have to open work. It into words, and so people multiplies with chargeable. It proved 1.6 into industrial minus 19 and we get the value of Lambda is nothing for 37 points it into termed mystical minus nine meter.

Ren Jie Tuieng · Answer

the discussion will get it for the electric experiment. And you have photo one before we thankful to 500 m impinge ing on a couple of surface. So this copper and given that the stopping potential required to prevent electrons from reaching D out of sight, the note is 2.181 faults. But justice to find what is the trash away thing. And we can do that by looking it. Question. All right. Where the energy or the fort on it&#x27;s given us equal. Studi maximum kinetic energy. Bless, look, function off the metal. What is described over here is that the energy off a fort one coming in is split up into helping the electron overcome the attractive forces in the metal, which is to vote for I should. And the remaining amount of energy goes into the cannon. Tennessee off the electron. So, Westie, kinetic energy off this electron emitter electron, based on the stopping potential, is given sq times and the energy photons carry for my taking it see over Lunda. So from here, we can actually find t What function? The key you see further by London by that severe acute times fee they see elementary charge the electron times the voltage just your 0.11 You get seven point 5 to 1 sent moment. It&#x27;s 19 times off juice. And if we divide this by 1.6 times said vote minus 19 we can&#x27;t comment into electron votes and this should be about 4.7 e v no. From here we can actually find the special. We think, since the Treasury thing is just the riffling for a photo on their has just enough energy to overcome t work function. So it must mean that the energy off the this photo distressful this full time we&#x27;ve Beatrice will weigh things is the what function? So we can&#x27;t just your HC over under or not, because to the ego function, to loved or not just it see if I could play, you will function ever gonna use you see to be, want to force you if he don&#x27;t never meet us. Since we are using terms off TV, I can&#x27;t get on ST himself. Centimeters very quickly should be about 2064 no meters. So it&#x27;s co creators form first part. We see that you will functions for my seven TV, which are compared to the REIT 0.1, right? The table that even want this course born Studi Very off the copper. Funny shit.

Elan Stopnitzky · Answer

all right. So in order to stop the electrons that are emitted from the service of the metal, the stopping potential energy has to be equal to the kinetic energy of the electron is coming out. And the kinetic energy of the electrons is whatever the photonic imparted to them. Minus the work function of that medal And the energy of each photon is given by H C over Lambda. And we&#x27;re given that stopping potential. I should say stopping potential energy is 0.181 electron volts. Um, actually, let&#x27;s let&#x27;s go straight to solving for the work function. Sophie will be equal to H C o ver lander minus e stop. See. So now we just plug the numbers in. In this case, our wavelength is 250 for Nana meters and are stopping potential 0.181 TV. Which is why we expressed H and devious. Well, and this comes out tio 4.71 you be. So this is the answer to part B. It&#x27;s easier to do part B first and then part, eh? So if we want to know what the threshold wavelength is, that&#x27;s basically the wave length at which you&#x27;re on the threshold of being able to eject electrons. And that happens when the energy of the photons is match to the the work function. So we simply excuse me one moment we have that the work function at Threshold is equal to H C over Lambda Thresh over the special wavelength. So we solve this for landed thresh. We found in part B that the work function is 4.71 TV. Yeah, so he substitute that in and we get that this is 263 nana meters.

Problem

Predict/Calculate Aluminum and calcium have photo…

Problem 28 Easy Difficulty

The maximum wavelength an electromagnetic wave can have
and still eject an electron from a copper surface is 264 $\mathrm{nm}$ . What is
the work function of a copper surface?

Answer

$7.53 \times 10^{-19} \mathrm{J}$

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$7.53 \times 10^{-19} \mathrm{J}$

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