Write down the two equations giving the maximum kinetic energy of the electrons ejected by the photoelectric effect. 2. Use these two equations to obtain the expression for the stopping potential delta V as a function of e, h, f and phi. 3. Is the relationship between delta V and f linear? If not, linearize it. What do the slope and y-intercept of your line represent? 4. How will you use the data from the linear regression to calculate the value of Planck's constant h and the work of extraction phi?

Write down the two equations giving the maximum kinetic energy of the electrons ejected by the photoelectric effect. 2. Use these two equations to obtain the expression for the stopping potential delta V as a function of e, h, f and phi. 3. Is the relationship between delta V and f linear? If not, linearize it. What do the slope and y-intercept of your line represent? 4. How will you use the data from the linear regression to calculate the value of Planck's constant h and the work of extraction phi?

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter3: The Quantum Theroy Of Light

Section: Chapter Questions

Problem 43P

See similar textbooks

Similar questions

A laser with a power output of 2.00 mW at a 400-nm wavelength is used to project a beam of light onto a calcium photoelectrode. (a) How many photoelectrons leave the calcium surface per second? (b) What power is carried away by ejected photoelectrons, given that the work function of calcium is 2.31 eV? (c) Calculate the photocurrent. (d) If the photoelectrode suddenly becomes electrically insulated and the setup of two electrodes in the circuit suddenly starts to act like a 2.00-pF capacitor, how long will current flow before the capacitor voltage stops it?
Find a simulation that will allow you to perform the photoelectric experiment virtually. Sketch a graph for each of the following relationships (controlled variables in parentheses): C. Maximum kinetic energy of the photoelectrons and frequency in order to determine both the work function for the metal and Planck's constant (metal and intensity). Questions for further analysis based on the three relationships investigated: C. Maximum Kinetic Energy of the Photoelectrons and Frequency a) What is the relationship between retarding potential and the kinetic energy of the emitted photoelectrons? b) What is the relationship between the kinetic energy of the photoelectrons and frequency? c) Determine the values and discuss the significance of the following features of the graph of kinetic energy vs. frequency: vertical axis intercept, horizontal axis intercept, and slope. d) Which metal investigated had the highest threshold frequency? What is the wavelength and energy (in eV) of this…
The formula for the distribution function of the photon statistic (or Planck statistic) is similar to that of the Bose-Einstein statistical distribution function, but not exactly the same. a. What's the difference? b. What is the physical meaning of the difference?
Establish the relevant theoretical model:1. Write the two equations giving the maximum kinetic energy of the electrons ejected by the photoelectric effect.2. Use these two equations to obtain the expression for the stopping potential ΔVarr as a function of e, h, f and ø.3. Is the relationship between ΔVarr and f linear? If not, linearize it. What do the slope and y-intercept of your line represent?4. How will you use the data from linear regression to calculate the value of the Planck constancy h as well as the work of extraction ø?
Find a simulation that will allow you to perform the photoelectric experiment virtually. Sketch a graph for each of the following relationships (controlled variables in parentheses): A. Light intensity and photocurrent (metal and frequency) Questions for further analysis based on the three relationships investigated: A. Intensity and Photocurrent a) What is the relationship between the intensity of the incident light and the photocurrent (assuming sufficient frequency and no retarding potential)? b) If the frequency of the light is below the minimum threshold frequency for a particular metal, how much photocurrent is produced? Why? Also, why won't an increase in energy (in terms of intensity) make any difference to this result?
Calculate the energy of a 800 nm photon. b. Find the wavelength and frequency of a 80-MeV photon. Given that the maximum wavelength for photoelectric emission in tungsten is 230 nm, what wavelength of light must be used to eject electrons with a maximum energy of 1.6 eV?
The first three energy levels of the fictitious element X are as shown.a. What wavelengths are observed in the absorption spectrum of element X? Give your answers in nm.b. State whether each of your wavelengths in part a corresponds to ultraviolet, visible, or infrared light.c. An electron with a speed of 1.4 × 106 m/s collides with an atom of element X. Shortly afterward, the atom emits a 1240 nm photon. What was the electron’s speed after the collision? Assume that, because the atom is so much more massive than the electron, the recoil of the atom is negligible.
Solve using GUESS method. Atomic and Nuclear Phenomena 2. The work function of a metal is 2.6 eV. What is the longest wavelength of radiation that can eject a photoelectron from this metal?
Light with a wavelength of 2.50 x 10-7 m falls on the surface of a 1.00 kg piece of molybdenum in an evacuated glass tube. If the work function of molybdenum is 7.00 x 10-19 J, determine: a. The maximum kinetic energy of the emitted photoelectrons. What equation will you use to determine this? Define each term of this equation in words. b. The speed of the photoelectrons that have this maximum kinetic energy. Define each term of the equation you use to solve this. c. What is the maximum wavelength of light needed to eject a photoelectron from molybdenum? What portion of the electromagnetic spectrum does this correspond to?
The work function of cesium is 2.1 eV. ▾ Part A Determine the lowest frequency photon that can eject an electron from cesium. Express your answer with the appropriate units. Templates Symbols undo' rego Teset keyboard shortcuts Help Value Units Request Answer Part B Determine the maximum possible kinetic energy in electron volts of a photoelectron ejected from the metal that absorbs a 320-nm photon. Express your answer in electronvolts. Templates Symbols undo' redo Teset keyboard shortcuts Help Kmax= eV f= Submit
Calculate the wavelength of a photon emitted when singly ionized helium (He+) transitions from the n = 3 to n = 2 state. The emitted photon has a wavelength of 0.164 nm. A photon is emitted when doubly ionized helium (He++) recombines with an electron to form He+ in the n = 2 state. How does the wavelength of the resulting photon compare to the answer from the previous problem? A. The wavelength is longer in this case because the change in energy (ΔE) is smaller. B. The wavelength is shorter in this case because the change in energy (ΔE) is smaller. C. The wavelength is longer in this case because the change in energy (ΔE) is greater. D. The wavelength is shorter in this case because the change in energy (ΔE) is greater. E. The wavelength is the same because both cases end with He+ in the n = 2 state.
Solve all of the following with short answers: 1. How can to increase the number of electrons released from a metal surface in the photoelectric effect phenomenon? 2. Why should the waves generated by an electron be an integer number of waves? 3. How many orbitals in the fifth secondary orbit? 4. If the potential energy of the electron equal -6.2ev, what is its charge?