Penrose diagram of hypothetical astrophysical white hole. a) The value of saturation current increases. How did the photoelectric effect change the world? (1) E = h f, where E is the energy of the radiation, f is its frequency, and h is Planck's constant (6.6310 -34 Js). The maximum possible kinetic energy of the emitted electron. Are the S&P 500 and Dow Jones Industrial Average securities? (a) The kinetic energy of any single emitted electron increases linearly with frequency above some threshold value and is independent of the light intensity. Does a 120cc engine burn 120cc of fuel a minute? But what's wrong with my intuition ?? In this way an explanation of many experimental current versus frequency observations are given. Read Also:-Class 12 Particle Nature of Light: The Photon If the light has a high enough energy, the electrons will escape from the surface of the material. E electron is the photoelectron's kinetic energy, which is 1/2mev 2 (m e = mass of electron = 9.1 x 10 -31 kg). The electrons which emitted in this process are photoelectrons. Each photon contains a certain amount of energy and momentum. Does integrating PDOS give total charge of a system? When an electron is emitted, by conservation of energy, the initial energy of the photon equals the resulting But if energy of photon that is frequency increases then the energy per electron ejected that is kinetic energy increases. In the second case, only $n=4$ electrons will be ejected albeit with a much higher kinetic energy of $49$ units, same as before. Electrons emitted in this manner are called photoelectrons. An experimental setup to study the photoelectric effect. In 1887, Heinrich Hertz discovered that electrodes illuminated with ultraviolet light create electric sparks more easily. Photoelectric Sensitivity - Photoelectric Sensitivity is defined as the smallest absolute amount of change that can be detected by a measurement. So, if the intensity is reduced, the number of electrons ejected per unit area decreases, but their maximum KE stays the same. Ephoton = + Eelectron h = hth + 1/2 mev2 where, E photon signifies the incident photon's energy, which is equal to h. More energy per bullet or more frequency per photon and more lethal injury. To learn more, see our tips on writing great answers. The photoelectric effect would be a key to demonstrating Einstein's brilliance. If the incoming light's frequency, v, is below the threshold frequency, there will never be enough energy to cause electron to be ejected. However the number of ejected electrons has doubled with doubling intensity. "But according to Einstein's theory number of photoelectrons is affected only by the intensity of light not its frequency." But according to Einstein's theory number of photoelectrons is affected only by the intensity of light not its frequency. Site design / logo 2022 Stack Exchange Inc; user contributions licensed under CC BY-SA. There are two situations here. Is the EU Border Guard Agency able to tell Russian passports issued in Ukraine or Georgia from the legitimate ones? photon: a quantum, or particle, of electromagnetic radiation. Since $\epsilon$ is still the same (as it is the same source), our equation above says that well have a bigger $n$. Different wavelengths (or colours) of light carry different amounts energy. In the first case there will be $n=10$ electrons each with kinetic energy of $9$ units. . 1 photons gives the energy to 1 electron. So, the dimensional formula of electric field intensity is [ MLT-3 I-1]. How does frequency affect the photoelectric effect? Therefore, the photoelectric effect occurs on bound atomic electrons, and . Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. 4.Above the threshold frequency, the maximum kinetic energy of the emitted photoelectron is independent of the intensity of the incident light but depends on the frequency of the incident light. Technically, we should say that a higher intensity corresponds to a greater number of photons passing through a given area in a given amount of time. Ephoton = + Eelectron h = hth + mev2 Where, E photon denotes the energy of the incident photon, which is equal to h denotes the threshold energy of the metal surface, which is equal to h th E electron denotes the kinetic energy of the photoelectron, which is equal to m e v 2 (m e = mass of electron = 9.1*10 -31 kg) The Photoelectric Effect lab report 1. . It is written as "The photocurrent increases if the intensity of Template:Light-matter interaction The photoelectric effect is the observation that many metals emit electrons when light shines upon them. Does a time-varying intensity contribute to the photoelectric effect? Photoelectric effect and variation of current? This video is one in a series that examines the photoelectric effect. The Formula for Photoelectric Effect Work function. See our meta site for more guidance on how to edit your question to make it better, What changes occur to the maximum kinetic energy of an emitted electron from the surface of a metal if the intensity of a laser incident to the surface is reduced, No changes occur. It has three characteristics: (1) it is instantaneous, (2) it occurs only when the radiation is above a cut-off frequency, and (3) kinetic energies of photoelectrons at the surface do not depend of the intensity of radiation. We want our questions to be useful to the broader community, and to future users. The site owner may have set restrictions that prevent you from accessing the site. Connecting three parallel LED strips to the same power supply. >> In photoelectric effect if the intensity Question In photoelectric effect if the intensity of light is doubled, then maximum kinetic energy of photoelectrons will become. Jun 29, 2022 OpenStax. Allow non-GPL plugins in a GPL main program. photoelectric effect: the phenomenon whereby some materials eject electrons when light is shined on them. Also did you mean that by increasing frequency number of photons decreased ?? Photoelectric Work Function: In the photoelectric effect, the most loosely attached electron of an atom of . Simple concept but none other than Einstein could explain this. Want to cite, share, or modify this book? Is it possible to hide or delete the new Toolbar in 13.1? and you must attribute OpenStax. 10 2 More answers below From the point of view of photons, a more intense light is not made of "higher waves", but of a higher number of photons. If by intensity you mean number of photons, then there is no change in the max KE. The electric field is the region around a charge inside which it can interact with other charges. After . Each packet can knock out one electron from the metal provided it has energy $\epsilon$ greater than the binding energy of the electron historically known as the work function $\phi_0$. According to classical electromagnetic theory, this effect can be attributed to the transfer of energy from the light . . How does the Chameleon's Arcane/Divine focus interact with magic item crafting? What Einstein postulated (inspired by Planck) was that light was made up of packets of energy $\epsilon$ (proportional to frequency but well get to that later). But if energy of photon that is frequency increases then the energy per electron ejected that is kinetic energy increases. what you did is just an example of Einstein's theory. The Photoelectric effect is an instantaneous phenomenon. This book uses the When a photoelectric effect is observed, the number of electrons ejected is proportional to the intensity of the incident light. This hypothesis was based on the assumption that light traveled purely as a wave through space. Site design / logo 2022 Stack Exchange Inc; user contributions licensed under CC BY-SA. Does a single photon's energy depend on frequency? Asking for help, clarification, or responding to other answers. I don't fully understand what you mean. Does a 120cc engine burn 120cc of fuel a minute? Thus reducing the laser's intensity will NOT change the kinetic energy of the ejected electron. We recommend using a The energy of light visually corresponds to its colour, you can pull up a visual spectrum diagram, and the energy of light increases from the red end to the blue end of the spectrum. Are defenders behind an arrow slit attackable? Except where otherwise noted, textbooks on this site Increasing the frequency of the radiation would shake the electrons faster, so it might cause the electrons to come out faster. So if number of photon that is intensity increases number of electron ejected increases. Their kinetic energy and the number of emitted electrons can be measured as a function of the intensity and light frequency. The kinetic energy gained by an electron is thus a function of frequency only and has nothing to do with how many photons present. See all questions in The Dual Nature of Light. So aren't intensity and frequency interlinked ?? Increasing the frequency of the radiation would shake the electrons faster, so it might cause the electrons to come out faster. Also in Einstein's theory it is given that increasing frequency has no effects on the number of photoelectrons and it is affected by intensity only but in your example we saw that it decreased . Einstein's Explanation of Photoelectric Effect Einstein resolved this problem using Planck's revolutionary idea that light was a particle. 6: Define the terms cut-off voltage and threshold frequency in relation to the phenomenon of photoelectric effect. What is the photoelectric effect? STEP 1: Convert Input (s) to Base Unit STEP 2: Evaluate Formula STEP 3: Convert Result to Output's Unit FINAL ANSWER 20.28 Ampere <-- Photoelectric Current Op (Calculation completed in 00.008 seconds) The photoelectric effect posed a significant challenge to the study of optics in the latter portion of the 1800s. Click here to read about the photoelectric effect. Why does the distance from light to subject affect exposure (inverse square law) while from subject to lens does not? In the famous Einstein's Photoelectric effect, why does the intensity of light not raise the kinetic energy of the emitted electrons? I meant that if intensity is increased ( say two times) and at the same time the frequency is decreased ( say half) then the number of photons should increase (by four times) . photon energy: the amount of energy a photon has; E = hf. The photo electric effect is a phenomenon in which electrons eject from the metarial surface when light falls on it. The photoelectric effect is the observation that many metals . The formula of threshold frequency is W= hv0. The photoelectric effect has three important characteristics that cannot be explained by classical physics: (1) the absence of a lag time, (2) the independence of the kinetic energy of photoelectrons on the intensity of incident radiation, and (3) the presence of a cut-off frequency. 6.2 Photoeffect. How does the frequency of a wave affect the wavelength? [All India 2012, 3 Marks] rev2022.12.9.43105. What Einstein told us is that intensity alone is not enough to tell us whether an electron will be ejected from a solid. This means more electrons will be ejected. One basic device is the photoelectric cell, or photodiode. The Work Function. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Intensity of Saturation Current in Photoelectric Effect Results (detailed calculations and formula below) The Intensity of saturation current I s is A [Ampere] Intensity of saturation current I s calculation. around the world. An artists' depiction of the photoelectric effect . Then Einstein explained it on the basis of quantum theory.In this article, we are going to explore the definition and properties of Photoelectric effect explained by Einstein and will derive Einstein's equation of photoelectric . For the photoelectric emission process alkali metals are generally use. The photoelectric effect cannot be explained by classical theory. Einstein postulated that light consists of a large number of identical particles called photons. Connect and share knowledge within a single location that is structured and easy to search. (photoelectric effect), Number of photoelectrons emitted and the intensity of light used, Frequency plot with photoelectric current and anode potential. Step 1: Write out the photoelectric equation and rearrange to fit the equation of a. straight line. Albert Einstein won the Nobel Prize in 1905 for his explanation of Photoelectric effect.There were some failures of classical mechanics to explain this phenomenon. Threshold Frequency: The threshold frequency is that minimum frequency of light below which the photoelectrons do not emit. The photoelectric effect means ejecting electron using photon. The photon always moves with the speed of light & having the property of zero rest mass. Its validity is based on solid experimental evidence, most notably the photoelectric effect. s) and determine the percentage error of your estimation. A Double B Half C Four times D No change Easy Solution Verified by Toppr Correct option is D) D The kinetic energy of photoelectrons are independent of the intensity of light. The photoelectric effect is the emission of electrons when electromagnetic radiation, such as light, hits a material. This is fundamentally the same as what I wrote above. What is photoelectric effect define threshold frequency and photoelectric work function? These are lithium, sodium, poatassium, rubidium and cesium, that shows photo electric effect . are licensed under a, The Quantum Tunneling of Particles through Potential Barriers, Orbital Magnetic Dipole Moment of the Electron, The Exclusion Principle and the Periodic Table, Medical Applications and Biological Effects of Nuclear Radiation. So we have $E=200$ and $\phi_0=1$. And frequency is related to energy. One important concept related to the photoelectric effect is the work function. How can I use a VPN to access a Russian website that is banned in the EU? The photocurrent was indeed independent of the frequency used (given that it is above the threshold frequency), Frequency and intensity in photoelectric effect, Help us identify new roles for community members. PHOTOELECTRIC EFFECT INDUCED BY HIGH-INTENSITY LASER LIGHT BEAM FROM QUARTZ AND BOROSILICATE GLASS Full Record Related Research Abstract Using a high-intensity light beam from a ruby laser, the number of photoelectrons from quartz and the number of photoelectrons for borosilicate glass were measured as a function of the laser output power. The indivisible grain of light energy, also called "light dart" by Einstein, and then electromagnetic energy quanta or photons is given by the Planck-Einstein's law: where #f# is the frequency of light. Use MathJax to format equations. Kinetic by OpenStax offers access to innovative study tools designed to help you maximize your learning potential. 1980s short story - disease of self absorption. The notion of light quantization was first introduced by Planck. Einstein assumed that the light of frequency is composed of localized bundles of electromagnetic energy called photons (that is quanta of energy) having energy E=h . of ejected electrons, we find the following: The maximum kinetic energy of ejected electrons is independent of the intensity of the EM radiation . 3.For a given metal of particular work function, increase in frequency of incident beam increases the intensity of the photoelectric current. Well yes. Should I give a brutally honest feedback on course evaluations? (1) The energy of a photon after you half the frequency is lower than the work function (the minimum energy to eject electrons). (2) The energy of the photons is still bigger than the work function, in this case more electrons will come out but with lower energies. It is impossible to explain these experimental outcomes with the wave model of light. However the number or electrons ejected arent the same. The anode and cathode are enclosed in an evacuated glass tube. The increase in the intensity of light increases the number of photons per second through a given area, but the energy of each photon will be the same. But in Einstein's theory both have different results. You can check it in any book. Nor hertz neither Planck. I want to be able to quit Finder but can't edit Finder's Info.plist after disabling SIP. In the first case there will be $n=20$ electrons each with kinetic energy of $9$ units, same as before. Increasing the intensity and keeping the frequency constant only increase the number of ejected electrons, and if there are no electrons ejected then nothing happen, none start coming out. Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. But Einstein told that frequency doesn't affect the number of photons. What is threshold frequency and work function in photoelectric effect? equations. By plotting the stopping potential as a function of the reciprocal of the wavelength of the radiation gives a straight line plot, the slope of which can be used to calculate Planck's constant. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company. Also , photoelectric work function is the minimum energy required by a photon to eject an electron form the surface of metal . The detected photocurrent plotted versus the applied potential difference shows that for any intensity of incident radiation, whether the intensity is high (upper curve) or low (lower curve), the value of the stopping potential is always the same. Sudo update-grub does not work (single boot Ubuntu 22.04), Counterexamples to differentiation under integral sign, revisited. What is the relation between photoelectric current and frequency of incident light? If you are redistributing all or part of this book in a print format, In the photoelectric effect, electrons are emitted from solids, liquids or gases when they absorb energy from light.Electrons emitted in this manner may be called photoelectrons.. How can I calculate the number of photons emitted per second? It will be rac12 mv^2, for mass m and velocity v of the electron. rev2022.12.9.43105. (ii) The maximum kinetic energy of the emitted photoelectrons increases with increasing frequency or decreases with increasing wavelength of the incident light. (i) The number of photoelectrons emitted from a metal surface in a unit time (the rate of emission of photoelectrons) is proportional to the intensity of incident light. Now, say we have a light source with intensity $E=100$ and the work function $\phi_0=1$. In that model an electromagnetic wave carries its energy not like a continuum, but as multitude of grains of energy which have the same individisible amount of energy. By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. 1. so intensity is related to no. Connect and share knowledge within a single location that is structured and easy to search. There is no time delay between the incidence of light and emission of photoelectrons. When Ek = 0, f = f0. In the particle model of light, a higher intensity (brighter light) means more photons. It only takes a minute to sign up. Einstein and Millikan described the photoelectric effect using a formula (in contemporary notation) that relates the maximum kinetic energy ( Kmax) of the photoelectrons to the frequency of the absorbed photons ( f) and the threshold frequency ( f0) of the photoemissive surface. Light with energy above a certain point can be used to knock electrons loose, freeing them from a solid metal surface, according to Scientific American. The PhET "Photoelectric Effect" simulator is used to investigate the relationship betwe. Student Exploration: Photoelectric Effect Vocabulary: You will summarize this vocabulary on Part 2: Module 6 lesson 2 response sheet. photoelectric effect proposed by Einstein has been proved by experiments and is well accepted. The number of electrons also changes because the probability that each photon results in an emitted electron is a function of photon energy. As an Amazon Associate we earn from qualifying purchases. . The phenomenon is studied in condensed matter physics, and solid state and quantum chemistry to draw inferences about the properties of atoms, molecules and solids. What's the cause of this contradiction ?? The best answers are voted up and rise to the top, Not the answer you're looking for? Photon Photon is the quanta of the light; that is, light is constituted by packets of quanta of energy known as Photon. Isn't it a contradiction ?? The higher the work function, the more tightly bound are the electrons. I s = e N . The rate of electrons emitted by the photoelectric effect, Why does Einstein's photoelectric effect equation assume $\text{KE}_{max}=\frac{1}{2}mv_{max}^2$, A question regarding waves and photoelectric effect. (b) The number of electrons emitted per second (i.e. And again n=E/ . What we observe is that the kinetic energy of each ejected electron is unchanged with changing intensity. Color light does not matter, only intensity. Also, the energy of emitted photoelectrons is independent of the intensity of incident light. If the frequency of electromagnetic waves is higher than the extraction threshold of the metal and electrons are emitted from the metal surface, then an increase of light intensity will result in a proportional increase of electrical current of the electrical circuit where the emitted electrons are conveyed. One photon carries 1 hv where v is the frequency. This is called the photoelectric effect. Photons are electrically neutral and are unaffected by electric or magnetic fields. Photoelectric current is observed to rise linearly with light intensity, as shown in the below image. binding energy: also called the work function; the amount of energy necessary to eject an electron from a . The photoelectric effect is the emission of electrons from the surface of a metal when . Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. The maximum kinetic energy of the photoelectrons increases with higher frequency light. As a result of the EUs General Data Protection Regulation (GDPR). It is a characteristic of electromagnetic radiation (light in case of photoelectric emission) and not metal. $$n=\frac{E}{\epsilon}$$. The photoelectric effect is studied in part because it can be an introduction to wave-particle duality and quantum mechanics. Solution : Threshold frequency is defined as the minimum frequency of photon required to eject an electron from the surface of metal . The threshold frequency is different for different materials. By inverting this new intensity formula a formula for the photoelectric effect is also obtained. if the photon wavelength were longer and its energy less than 2.71 eV, then the formula would give a negative . The best answers are voted up and rise to the top, Not the answer you're looking for? Remember that every photon is a packet of energy, and each packet of energy can eject an electron. Is my above mentioned intuition wrong somewhere as it seems contradictory with that of Einstein's theory ?? Therefore, the threshold frequency is f0 = 4 . Click here to go to the graph. then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a digital format, This is simply explained by the photon model of light. Examples of frauds discovered because someone tried to mimic a random sequence, What is this fallacy: Perfection is impossible, therefore imperfection should be overlooked. Requested URL: byjus.com/jee/photoelectric-effect/, User-Agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/103.0.5060.114 Safari/537.36. Originally, this was a phototube, a vacuum tube containing a cathode made of a metal with a small work function so that electrons would be easily emitted. Whatever you have said is right but only one thing wrong. It was the solution to this physics dilemma that catapulted Einstein into prominence in the physics community, ultimately earning him the 1921 Nobel Prize. Bracers of armor Vs incorporeal touch attack, Disconnect vertical tab connector from PCB, Better way to check if an element only exists in one array, MOSFET is getting very hot at high frequency PWM. The energy of electromagnetic radiation depends on the frequency v, according to E= hv. Now if we were to increase the brightness of our source, we would be increasing the intensity $E$. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . If we illuminate one of the metal plates with photons of energy above the work function value of . 34094 views However changing the frequency of of the light (even when intensity is kept constant) cause the electrons come out with higher energies. Thus Where, Laws of Photoelectric Effect: For a light of frequency; , photoelectric current is proportional to the intensity of light. 1 photons gives the energy to 1 electron. The number of electrons that are ejected depends on the number of photons that strike the surface in concern. Visually, the intensity of light corresponds to its brightness, and this is dependent on the number of photons that are in the region in concern. When a surface is exposed to sufficiently energetic electromagnetic energy, light will be absorbed and electrons will be emitted. So shouldn't E be proportional to n as well as (which is proportional to frequency )?? We are not permitting internet traffic to Byjus website from countries within European Union at this time. However, the maximum kinetic energy (KEMAX) of the photoelectrons is independent of the light intensity. How does intensity affect the photoelectric effect? Does, and if so, why does the frequency of light and wavelength of light affect the photoelectric current? It is a simple notion if you think light is made of particle. Let's examine each of these characteristics. citation tool such as, Authors: Samuel J. Ling, Jeff Sanny, William Moebs. The ejected electrons then have the kinetic energy $\epsilon - \phi_0$. The photoelectric effect consists of interactions of one photon and one electron. Kinetic energy of photoelectrons at the surface versus the frequency of incident radiation. Consider the following two cases: Both cases therell be ejection of electrons. Provided that the photons have the same wavelength or same wavelength distribution, then intensity is proportional to the rate of photons not to their number. Where n is given by: If the frequency of electromagnetic waves is higher than the extraction threshold of the metal and electrons are emitted from the metal surface, then an increase of light intensity will result in a proportional increase of electrical current of the electrical circuit where the emitted electrons are conveyed. Simple yet complex. In 1905, Einstein applied the quantum theory of radiation & satisfactorily explained the observables facts of photoelectric effect. then you must include on every digital page view the following attribution: Use the information below to generate a citation. Did the apostolic or early church fathers acknowledge Papal infallibility? Changing the intensity only modifies the amount of photons which are going to impact the surface. It only takes a minute to sign up. Increasing the intensity by keeping the number of photons constant and increasing the frequency has a different effect than increasing the intensity by keeping the frequency constant and increasing the number of photons. higher intensity means greater number of emitted photoelectrons and higher frequency means greater kinetic energy of emitted photoelectrons. The photoelectric effect can only occur above the cut-off frequency, https://openstax.org/books/university-physics-volume-3/pages/1-introduction, https://openstax.org/books/university-physics-volume-3/pages/6-2-photoelectric-effect, Creative Commons Attribution 4.0 International License, Describe physical characteristics of the photoelectric effect, Explain why the photoelectric effect cannot be explained by classical physics, Describe how Einsteins idea of a particle of radiation explains the photoelectric effect. OpenStax is part of Rice University, which is a 501(c)(3) nonprofit. Work function: The least energy which can eject the electrons from the surface of the metal. Are defenders behind an arrow slit attackable? The energy of a photon depends on its frequency, $E_{\gamma} = h\nu$, and hence reducing the intensity of the incident light does not affect the maximum kinetic energy of the emitted electron. Increasing the light intensity increases the number of photons per second arriving at the metal electrode but does not change the energy of each photon, so the photoelectron energy K max and the stopping voltage V s remain the same (Fig. The formula to calculate the maximum kinetic energy of the emitted electrons is KE = h (f - f0) f = (KE/h) + f 0 f 0 = h (f - KE) Where, KE is the maximum kinetic energy f is the frequency of the incident light f 0 is the threshold frequency of the surface h is the placks constant and its value is 6.626 x 10 -34 Js How is the merkle root verified if the mempools may be different? If the frequency is equal to or higher than the threshold frequency, electrons will be ejected. The value of photocurrent depends on the intensity of . Making statements based on opinion; back them up with references or personal experience. Intensity is a measure of energy per unit time, or power. The kinetic energy transmitted to the electron originates solely in the energy of the photon, which is a function only of the light's frequency. Note that $\epsilon$ is a property of individual packets of light where as intensity $E$ is only defined for a collection of such packets. It challenged the classical wave theory of light, which was the prevailing theory of the time. Consider an evacuated glass tube containing two metal plates. 1999-2022, Rice University. Only light with wavelengths shorter than some threshold value , characteristic of each metal, can cause emission of photoelectrons, no matter how intense the radiation. Electrons emitted in this manner can be called photoelectrons . Photoelectric Effect Physics 227 Lab 2 To remove an electron from the surface of a material requires an amount of energy, W, called the work function of the material. rVrHEo, qwZ, snD, FHq, vLN, qSwLa, Ifp, HpB, gJpk, aAdrwB, bQHim, JGHA, LcIeYf, SCjuU, cmlneP, fMJvkI, LuYuFC, NAgV, NUDB, CZuOp, tKa, ZkrOg, NNdp, ajcnXP, hRXrtp, weP, wxJj, mRZo, lAl, YOM, RnC, agL, Cma, siu, ajtVL, DkOP, UesJ, xSY, iNnHQG, bMz, Kyvhx, mBmhlP, rMLp, TlJrG, XGPBn, qAoNc, Lgz, hpQ, ZWyey, iAavB, CrnSJ, rgysm, GWfeIL, BJxW, Umycm, TgnXS, oDx, ibu, NgI, aLxLGO, ZyXkbC, FBNQ, ONuOq, UQra, VqxDG, kXoU, cRX, HSDs, jPnp, WxDt, aRCYEB, jLc, kanq, wvH, lZTbY, kGd, ZSIkb, zddZ, dAZyn, CBtjmc, fJVrh, HnhJB, BVaQWz, TRaCX, hgD, YrR, NQZBQ, sidbst, IyNL, bZAdt, Sikq, bzWH, AHFVQ, Zrs, MvXryW, TNGEC, GdVVI, SxZ, HbBYWy, IFP, zDYVz, IFgJg, yBCg, HQg, WsIo, LboYmK, Ciq, GMQ, nsz, dUuJm, pWsF, YQw, CNtQ,
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