College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 28, Problem 7P
To determine
The relationship between the threshold frequency and the work function in
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In developing night-vision equipment, you need to measure the work function for a metal surface, so you perform a photoelectric-effect experiment. You measure the stopping potential V0 as a function of the wavelength l of the light that is incident on the surface. You get the results in the table.
In your analysis, you use c = 2.998 x 108m/s and e = 1.602 x 10-19 C, which are values obtained in other experiments. (a) Select a way to plot your results so that the data points fall close to a straight line. Using that plot, find the slope and y-intercept of the best-fit straight line to the data. (b) Use the results of part (a) to calculate Planck’s constant h (as a test of your data) and the work function (in eV) of the surface. (c) What is the longest wavelength of light that will produce photoelectrons from this surface? (d) What wavelength of light is required to produce photoelectrons with kinetic energy 10.0 eV?
What is the threshold frequency for the photoelectric effect on lithium (f 2.93 eV)? What is the stopping potential if the wavelength of the incident light is 380 nm?
Radiation with a frequency of 7.52 × 1014 Hz illuminates a photoelectric surface in a photoelectric cell. If the work function of this surface is 2.20 eV, what stopping voltage would be required to reduce the current through this cell to zero?
Chapter 28 Solutions
College Physics (10th Edition)
Ch. 28 - Prob. 1CQCh. 28 - Prob. 2CQCh. 28 - Prob. 3CQCh. 28 - Prob. 4CQCh. 28 - Prob. 5CQCh. 28 - Prob. 6CQCh. 28 - Prob. 7CQCh. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Prob. 10CQ
Ch. 28 - Prob. 11CQCh. 28 - Prob. 12CQCh. 28 - Prob. 1MCPCh. 28 - Prob. 2MCPCh. 28 - Prob. 3MCPCh. 28 - Prob. 4MCPCh. 28 - Prob. 5MCPCh. 28 - Prob. 6MCPCh. 28 - Prob. 7MCPCh. 28 - Prob. 8MCPCh. 28 - Prob. 9MCPCh. 28 - Prob. 10MCPCh. 28 - Prob. 11MCPCh. 28 - Prob. 12MCPCh. 28 - Prob. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 28 - Prob. 12PCh. 28 - Prob. 13PCh. 28 - Prob. 14PCh. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - Prob. 17PCh. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - Prob. 21PCh. 28 - Prob. 22PCh. 28 - Prob. 23PCh. 28 - Prob. 24PCh. 28 - Prob. 25PCh. 28 - Prob. 26PCh. 28 - Prob. 27PCh. 28 - Prob. 28PCh. 28 - Prob. 29PCh. 28 - Prob. 30PCh. 28 - Prob. 31PCh. 28 - Prob. 32PCh. 28 - Prob. 33PCh. 28 - Prob. 34PCh. 28 - Prob. 35PCh. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - Prob. 38PCh. 28 - Prob. 39PCh. 28 - Prob. 40PCh. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - Prob. 43PCh. 28 - Prob. 44PCh. 28 - Prob. 45PCh. 28 - Prob. 46PCh. 28 - Prob. 47PCh. 28 - Prob. 48PCh. 28 - Prob. 49PCh. 28 - Prob. 50GPCh. 28 - Prob. 51GPCh. 28 - Prob. 52GPCh. 28 - Prob. 53GPCh. 28 - Prob. 54GPCh. 28 - Prob. 55GPCh. 28 - Prob. 56GPCh. 28 - Prob. 57GPCh. 28 - Prob. 58GPCh. 28 - Prob. 59GPCh. 28 - Prob. 61GPCh. 28 - Prob. 62GPCh. 28 - Prob. 63GPCh. 28 - Prob. 64GPCh. 28 - Prob. 65GPCh. 28 - Prob. 66PPCh. 28 - Prob. 67PPCh. 28 - Prob. 68PPCh. 28 - Prob. 69PPCh. 28 - Prob. 70PPCh. 28 - Prob. 71PPCh. 28 - Prob. 72PPCh. 28 - Prob. 73PPCh. 28 - Prob. 74PP
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- When developing a night vision night vision equipment, you need to measure the work function for the surface of a metal, so you perform a photoelectric photoelectric effect experiment. You measure the cutoff potential V0 as a function of of the wavelength À of light striking the surface. The results appear in the following table. In your analysis, you use c = 2.998 X 10^8 m/s and e = 1.602 X 10^-19 C, which are values obtained in other experiments. (a) Select a way to represent your results graphicallyso that the data points are close to a straight line. Using this graph, find the slope and the intercept y of the straight line that best fits the data. (b) Use the results from (a) to calculate the Planck constant h (as a test of your data) and the work function ( in and V) of the surface. ( c) What is the longest wavelength of light that will produce photoelectrons from this surface? (d) What wavelength of wavelength of light is required to produce photoelectrons with a kinetic energy…arrow_forwardFresh out of university you've been hired to do some photoelectron spectroscopy. You have a lamp that outputs an unknown wavelength of light. When the light is incident on a metal with a work function of 6.31 eV, you observe a stopping voltage equal to 4.21 V. What is the wavelength of the light? (unit in nm).arrow_forwardA photoelectric experiment has a work function = 6.35 eV. The minimum cutoff frequency is 1.53E15 Hz a.) Purple light (wavelength 420 nm)- the energy of the photon is ______ eV What is the kinetic energy? b.) Ultraviolet (wavelength 130 nm)- the energy of the UV photon is _______eV. What is the kinetic energy?arrow_forward
- A) Astronomers measure the peak wavelength of a nearby star to be 410 nm. What is the star's temperature? B) How much energy does a single photon of light have at this wavelength? C) An electron bound in an unknown metal requires 1.45E-19 ] of energy under the photoelectric effect to become free of the metal. How much kinetic energy would it have if struck by the photon froft part (b)? D) What is the final speed of the elctron from part (c)?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_forwardA nickel crystal’s work function is measured to be 5.22 eV at 25°C. As the temperature increases by 300°C, the work function drops by 50 meV. By how much does this shift the threshold wavelength for photoelectric emission?arrow_forward
- The photoelectric work function of silver is 3.3 eV. Calculate the threshold frequency for silver.arrow_forwardThe work function of a photosensitive material is 4.0 eV. This longest wavelength of light that can cause photon emission from the substance isarrow_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
- Light that has a 199-nm wavelength strikes a metal surface, and photoelectrons are produced moving as fast as 0.002c. What is the work function Φ0 of the metal? work function = ? J What is the threshold wavelength ?max for the metal, above which no photoelectrons will be emitted? wavelength max = ? marrow_forwardIn a photoelectric effect experiment, it is found that no current flows unless the incident light has a wavelength shorter than 359 nm nm. What stopping potential will be needed to halt the current if light of 225 nm falls on the surface? Express your answer with the appropriate units. μA 2.249 V Vo =arrow_forwardThe threshold wavelength for the photoelectric effect for silver is 262 nm. What is the work function Φ0 for silver?arrow_forward
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