An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Question
Chapter A.1, Problem 2P
(a)
To determine
To Calculate: The work function for the photocathode.
(b)
To determine
To Calculate: The voltage reading if the wavelength is changed.
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The following data gives stopping potential Vo versus wavelength for photoelectrons produced from a metal surface. (Be sure to
include the correct units and use three significant figures.)
Table 1
Vo
(nm) (volts)
50
22.3
100
9.29
150
5,20
200
3.09
250
1.84
300
1.04
Use an analysis similar to that used in the inlab procedure to determine the work function (in ev) for this surface. (Use
1 ev = 1,602 x 10-19 J, e- 1.602 x 10-19 C, c = 2.998 x 10 m/s, and h= 6.626 x 10-34 )-s = 4.136 x 10"15 ev -s as
necessary.)
X ev
When ultraviolet light with a wavelength of 420 nm falls on a certain metal surface, the maximum kinetic energy of the emitted photoelectrons is measured to be 1.1 eV. (a) What is the stopping potential for these photoelectrons with this Kmax? (b) What is the threshold frequency for this metal? (c) What is the maximum kinetic energy of photoelectrons when light of wavelength 314 nm falls on the same surface?
Please only type answer
For the photoelectric effect, what is the differential absorption of x-rays in bone (Z = 20, density = 1810) relative to fatty tissue (Z = 6, density = 905) ? Round your answer to one decimal place.
Chapter A Solutions
An Introduction to Thermal Physics
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- If the work function of a metal is 3.2 eV, what is the maximum wavelength that a photon can have to eject a photoelectron from this metal surface?arrow_forwardA beam of ultraviolet light (100 nm - 400 nm) is incident on a silver plate of which the work function is 4.26 eV. b) A voltage is then applied to the plate. Determine the voltage required for stopping the photoelectrons produced by the light with wavelength longer than 200 nm from leaving the plate surface. (answer: -1.94V)arrow_forwardProblem 4 (2 ...us): When light with a wavelength of 400 nm strikes a certain metal surface, the maximum kinetic energy of the emitted photoelectrons is measured to be 1.10 eV. a. (ts) What is the work function of the metal? b.ts) If light of wavelength 300 nm strikes the same metal surface, what is the shortest possible deBroglie wavelength of the emitted photoelectrons? (The electron speed is much slower than the speed of light.)arrow_forward
- In a photoelectric effect experiment using UV light of wavelength 100 nm, a stopping voltage of V = 7.68 V is found. (a) Find the work function of the metal used. Using an appropriate table of work functions (in your text, for example), identify the metal. (b) Will there be a photoelectric effect using light of wavelength 200 nm? If so, find the stopping voltage. (c) Will there be a photoelectric effect using light of wavelength 400 nm? If so, find the stopping voltage.arrow_forwardWhen ultraviolet light with a wavelength of 254 nm falls on a clean copper surface, the stopping potential necessary to stop emission of photoelectrons is 0.181 V. (a) What is the photoelectric threshold wavelength for this copper surface? (b) What is the work function for this surface, and how does your calculated value compare with that given in Tablearrow_forwardProblem 2: (a) In a particular photoelectric experiment, a stopping potential of V, is measured when light of wave- length A is incident on the metal. Now use light of wavelength 3A/2 instead. If we still measure a non-zero current at zero applied voltage, what is the new stopping potential, V? Give a physical explanation for why the stopping potential increased (if you found that it increased), decreased (if you found that it decreased), or stayed the same (if you found that it stayed the same). (b) What is the maximum wavelength of light, do, that can create a current in the photoelectric exper- iment? Answer in terms of A and V,, where V, is the stopping potential associated with some wavelength 1< Ao. (c) In a photoelectric experiment, electrons are emitted with maximum kinetic energy K. The light is then replaced by light of half the original wavelength, and the maximum kinetic energy is of the electrons becomes 4K. What is the work function of the metal? (d) Photons of frequency…arrow_forward
- Photoelectron spectra were acquired from a sample ofgaseous N2 using He(I) light with energy 21.22 eV as theionization source. Photoelectrons were detected withkinetic energy values 5.63 eV and also with 4.53 eV. Calculate the ionization energy for each group of electrons.Identify the MOs that were most likely the sources ofthese two groups of electrons.arrow_forwardIn an experiment of photoelectric effect, no current flows through the circuit when the voltage across the anode and cathode is -1.70 V. Calculate a) b) If it is illuminated by ultraviolet radiation of frequency 1.70 x 1015 Hz. 5. the work function the threshold wavelength of the metal (cathode) [Ans: 8.55×1019 J, 233 nm]arrow_forwardAluminium has a work function of 4.08 eV. (a) Find the cutoff wavelength and cutoff frequency for the photoelectric effect. wavelength nm frequency Hz (b) What is the stopping potential if the incident light has a wavelength of 159 nm? V Need Help? Read Itarrow_forward
- The attatched equation describes the cross section for the photoionization of a hydrogen atom in quantum state n by a photon of wavelength λ. What is the photoionization cross section for a 13.6 eV photon on hydrogen? (Provide an answer in megabarns. A barn is a unit of area commonly used in particle physics that's 10-28 m2).arrow_forwardWhat is the work function for the metal (in eV), if the maximum wavelength of light to produce current by the photoelectric effect from this metal is 362 nm?arrow_forwardMonochromatic light from a laser shines onto a gold surface and produces photoelectrons with maximum kinetic energy KEmax = 3.5 eV. What is the wavelength of the laser light? Assume a work function of 5.10 eV for gold. Please give your answer in units of nm, rounded to 1 decimal place.arrow_forward
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