Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 40, Problem 23P
To determine
The charge induced by the
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An isolated copper sphere of radius 85.9cm is initially uncharged. It is illuminated by ultraviolet light of wavelength 174.6nm. What charge (C) will the photoelectric effect induce on the sphere? The work function of copper is 4.7eV.HINT: At what voltage will the electrons no longer be able to escape the sphere? Remember electrostatics?
The photoelectric effect is the emission of electrons from a metal when light falls on it. The
maximum kinetic energy of the electrons is the photon energy less the work function of the
metal. A counter-electrode placed near the surface can pick up the photoelectric current.
a) The work function of copper is 4.65 eV. Calculate the maximum kinetic energy in eV of the
electrons if a copper surface is illuminated with 200 nm UV light.
b) If the counter-electrode is charged to +10 V, what will be the maximum kinetic energy of
electrons arriving on it? What negative voltage would cut the photocurrent to zero?
The work function of tungsten is 4.5 eV. What is the photoelectric threshold wavelength for tungsten? What type of radiation is this? h = 4.136 x 10-15 eV.s c = 3.0 x 108 m/s
Chapter 40 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 40.1 - Prob. 40.1QQCh. 40.2 - Prob. 40.2QQCh. 40.2 - Prob. 40.3QQCh. 40.2 - Prob. 40.4QQCh. 40.3 - Prob. 40.5QQCh. 40.5 - Prob. 40.6QQCh. 40.6 - Prob. 40.7QQCh. 40 - Prob. 1OQCh. 40 - Prob. 2OQCh. 40 - Prob. 3OQ
Ch. 40 - Prob. 4OQCh. 40 - Prob. 5OQCh. 40 - Prob. 6OQCh. 40 - Prob. 7OQCh. 40 - Prob. 8OQCh. 40 - Prob. 9OQCh. 40 - Prob. 10OQCh. 40 - Prob. 11OQCh. 40 - Prob. 12OQCh. 40 - Prob. 13OQCh. 40 - Prob. 14OQCh. 40 - Prob. 1CQCh. 40 - Prob. 2CQCh. 40 - Prob. 3CQCh. 40 - Prob. 4CQCh. 40 - Prob. 5CQCh. 40 - Prob. 6CQCh. 40 - Prob. 7CQCh. 40 - Prob. 8CQCh. 40 - Prob. 9CQCh. 40 - Prob. 10CQCh. 40 - Prob. 11CQCh. 40 - Prob. 12CQCh. 40 - Prob. 13CQCh. 40 - Prob. 14CQCh. 40 - Prob. 15CQCh. 40 - Prob. 16CQCh. 40 - Prob. 17CQCh. 40 - The temperature of an electric heating element is...Ch. 40 - Prob. 2PCh. 40 - Prob. 3PCh. 40 - Prob. 4PCh. 40 - Prob. 5PCh. 40 - Prob. 6PCh. 40 - Prob. 7PCh. 40 - Prob. 8PCh. 40 - Prob. 9PCh. 40 - Prob. 10PCh. 40 - Prob. 11PCh. 40 - Prob. 12PCh. 40 - Prob. 14PCh. 40 - Prob. 15PCh. 40 - Prob. 16PCh. 40 - Prob. 17PCh. 40 - Prob. 18PCh. 40 - Prob. 19PCh. 40 - Prob. 20PCh. 40 - Prob. 21PCh. 40 - Prob. 22PCh. 40 - Prob. 23PCh. 40 - Prob. 25PCh. 40 - Prob. 26PCh. 40 - Prob. 27PCh. 40 - Prob. 28PCh. 40 - Prob. 29PCh. 40 - Prob. 30PCh. 40 - Prob. 31PCh. 40 - Prob. 32PCh. 40 - Prob. 33PCh. 40 - Prob. 34PCh. 40 - Prob. 36PCh. 40 - Prob. 37PCh. 40 - Prob. 38PCh. 40 - Prob. 39PCh. 40 - Prob. 40PCh. 40 - Prob. 41PCh. 40 - Prob. 42PCh. 40 - Prob. 43PCh. 40 - Prob. 45PCh. 40 - Prob. 46PCh. 40 - Prob. 47PCh. 40 - Prob. 48PCh. 40 - Prob. 49PCh. 40 - Prob. 50PCh. 40 - Prob. 51PCh. 40 - Prob. 52PCh. 40 - Prob. 53PCh. 40 - Prob. 54PCh. 40 - Prob. 55PCh. 40 - Prob. 56PCh. 40 - Prob. 57PCh. 40 - Prob. 58PCh. 40 - Prob. 59PCh. 40 - Prob. 60APCh. 40 - Prob. 61APCh. 40 - Prob. 62APCh. 40 - Prob. 63APCh. 40 - Prob. 64APCh. 40 - Prob. 65APCh. 40 - Prob. 66APCh. 40 - Prob. 67APCh. 40 - Prob. 68APCh. 40 - Prob. 69APCh. 40 - Prob. 70APCh. 40 - Prob. 71APCh. 40 - Prob. 72CPCh. 40 - Prob. 73CPCh. 40 - Prob. 74CPCh. 40 - Prob. 75CPCh. 40 - Prob. 76CP
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- A 400-nm laser beam is projected onto a calcium electrode. The power of the laser beam is 2.00 mW and the work function of calcium is 2.31 eV. (a) How many photoelectrons per second are ejected? (b) What net power is carried away by photoelectrons?arrow_forwardA 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?arrow_forwardA 600-nm light falls on a photoelectric surface and electrons with the maximum kinetic energy of 0.17 eV are emitted. Determine (a) the work function and (b) the cutoff frequency of the surface. (c) What is the stopping potential when the surface is illuminated with light of wavelength 400 nm?arrow_forward
- The work function for potassium is 2.26 eV. What is the cutoff frequency when this metal is used as photoelectrode? What is the stopping potential when for the emitted electrons when this photo electrode is exposed to radiation of frequency 1200 THz?arrow_forwardWhat is the momentum of a 589-nm yellow photon?arrow_forwardA clean nickel surface is exposed to light of wavelength 230 nm. What is the maximum kinetic energy of the photoelectrons emitted from this surface? Nickel has a work function of 5.1 eV.arrow_forward
- A potassium surface is illuminated by a monochromatic laser light with a wavelength of 400 nm. Determine the maximum speed of a photoelectron emitted from this surface if the potassium surface has a work function of 2.30 eV. ??=9.11×10−31??arrow_forwardWhen ultraviolet light with a wavelength of 264 nmnm falls upon a clean metal surface, the stopping potential necessary to terminate the emission of photoelectrons is 0.178 VV . A) What is the photoelectric threshold wavelength for this metal? Express your answer in nanometers. B) What is the work function for the metal? Express your answer in electronvolts.arrow_forwardA hollow metal sphere has an inner radius, R =5 cm, and an outer radius, R, = 6 cm. The metal sphere is initially uncharged and a net charge, +Q, exists in its hollow region, as shown in Figure 1. The sphere is then illuminated from outside by ultraviolet light of wavelength 2 = 220 nm, resulting in the emission of photoelectrons. The work function of the metal is 4.70 eV. R, Vo Va R2 Figure 1 (i) If no photoelectrons emitted by the metal sphere can reach infinity, find the minimum amount of net charge Q that should be located in the hollow region. (ii) If Q = 4x10 C, determine the amount of charge induced on the inner and outer surfaces of the metal sphere, and estimate the number of photoelectrons that can reach infinity.arrow_forward
- thanks. The work function of sodium is 2.3 eV. What is the longest wavelength that can cause photoelectric emission? What should be the stopping potential if the sodium atom is illuminated by light of λ = 400 nm?arrow_forwardThe work function of a metal is 2.29 x 10-19 J. In a photoelectric effect experiment, calculate the maximum speed of the electrons emitted, in meters per second, when blue light is used (λ = 0.461 μm). Use three significant figures in your answer.arrow_forwardThe photoelectric threshold wavelength of a tungsten surface is given as 256 nm. Calculate the maximum kinetic energy of electrons ejected by ultraviolet radiation with a frequency of 1.47 x 1015 Hz from the tungsten surface. (Express your answer in terms of electron volts.)arrow_forward
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