Time delay in the photoelectric effect. A beam of ultraviolet light of intensity 1.6 x 10-12...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Time delay in the photoelectric effect. A beam of ultraviolet light of intensity 1.6 x 10-12 W is suddenly turned on and falls on a metal surface, ejecting electrons through the photoelectric effect. The beam has a cross-sectional area of 1 cm2, and the wavelength corresponds to a photon energy of 10 eV. The work function of the metal is 5 eV. How soon might one expect photoelectric emission to occur? Note: leV=1.6 x 10-19J. (a) One classical model suggests an estimate based on the time needed for the work function en- ergy (5eV) to be accumulated over the area of one atom (radius -0.1 nm). Calculate how long this would be, assuming the energy of the light beam to be uniformly distributed over its cross section. (b) Actually, as Lord Rayleigh showed in 1916, the estimate from (a) is too pessimistic. An atom can present an effective area of about A to light of wavelength A corresponding to its resonance frequency. Calculate a time delay on this basis. (c) On the quantum picture of the process, it is possible for photoelectron emission to begin immediately may be compared to the classical estimates, calculate the average time interval between arrival of successive 10 eV photons. This would also be the average time delay between switching on the source and getting the first photoelectron. Hint: think of the power as photons per uunit time. as soon as the first photon strikes the emitting surface. But to obtain a time that Time delay in the photoelectric effect. A beam of ultraviolet light of intensity 1.6 x 10-12 W is suddenly turned on and falls on a metal surface, ejecting electrons through the photoelectric effect. The beam has a cross-sectional area of 1 cm2, and the wavelength corresponds to a photon energy of 10 eV. The work function of the metal is 5 eV. How soon might one expect photoelectric emission to occur? Note: leV=1.6 x 10-19J. (a) One classical model suggests an estimate based on the time needed for the work function en- ergy (5eV) to be accumulated over the area of one atom (radius -0.1 nm). Calculate how long this would be, assuming the energy of the light beam to be uniformly distributed over its cross section. (b) Actually, as Lord Rayleigh showed in 1916, the estimate from (a) is too pessimistic. An atom can present an effective area of about A to light of wavelength A corresponding to its resonance frequency. Calculate a time delay on this basis. (c) On the quantum picture of the process, it is possible for photoelectron emission to begin immediately may be compared to the classical estimates, calculate the average time interval between arrival of successive 10 eV photons. This would also be the average time delay between switching on the source and getting the first photoelectron. Hint: think of the power as photons per uunit time. as soon as the first photon strikes the emitting surface. But to obtain a time that
Expert Answer:
Related Book For
Probability & Statistics for Engineers & Scientists
ISBN: 978-0130415295
7th Edition
Authors: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying
Posted Date:
Students also viewed these accounting questions
-
A valve in a cylinder has a cross sectional area of 11 cm2 with a pressure of 735 kPa inside the cylinder and 99 kPa outside. How large a force is needed to open the valve?
-
A valve in a cylinder has a cross sectional area of 2 in2 with a pressure of 100 psia inside the cylinder and 14.7 psia outside. How large a force is needed to open the valve?
-
A valve in a cylinder has a cross sectional area of 11 cm2 with a pressure of 735 kPa inside the cylinder and 99 kPa outside. How large a force is needed to open the valve?
-
Transactions related to revenue and cash receipts completed by Acheville Architects Co. during the period September 2-30, 2014, are as follows: Sept. 2. Issued Invoice No. 793 to Nickle Co., $5,200....
-
The vane heights for 20 of the castings from Figure 6.25 are shown in table 6E.32. Construct the between/within control charts for these process data using a range chart to monitor the...
-
A. Akgerman and M. Zardkoohi (J. Chem. Eng. Data 41,185 (1996)) examined the adsorption of phenol from aqueous solution on to fly ash at 20e. They fitted their observations to a Freundlich isotherm...
-
The Joppa Corporation's sales department receives all sales order (mail or phone), prepares the sales order form, and forwards a copy to the credit manager for credit approval. On indicating...
-
The following transactions apply to Brooks Co. for 2014, its first year of operations. 1. Issued $60,000 of common stock for cash. 2. Provided $74,000 of services on account. 3. Collected $62,000...
-
Speeding up and slowing down A 1400kg car, starting from rest, accelerates to a speed of 30mph in 10 seconds. a) What is the force on the car (assumed constant) over this period of time? b) Where...
-
Explain which transportation mode would probably be most suitable for shipping the following goods to a large Los Angeles department store: a. 300 pounds of Maine lobster. b. 15 pounds of...
-
3. 2017 2018 2019 2020 2021 + H/C + H/C + - H/C + H/C + JAN 10 15 217 15 10 206 10 15 217 15 10 212 0 10 223 FEB 9 12 214 12 9 209 12 9 220 12 11 213 0 3 220 MAR 10 14 210 14 10 213 10 14 216 12 13...
-
Describe the impact internal politics can have on the implementation of total quality.
-
Consider a fruit-growing tropical island economy without money. Under what circumstances would you recommend the issue of a paper currency by the government of the island? What advantages might this...
-
Define risk aversion and explain the role the risk premium plays in the risk-return tradeoff.
-
What are some of the main obstacles to a faster, more efficient U.S. payments system and how might they be overcome?
-
Assess the risk in holding stocks for the long run.
-
Ethical Choice / Decision: Situation Fyre Festival was a heavily marketed event that didn't follow through what their advertisements promised. One of the key decision makers was Billy McFarland. He...
-
Write a paper by answer the following question: Should Recycling Be Mandatory?
-
Given the normally distributed variable X with mean 18 and standard deviation 2.5, find (a) P(X < 15): (b) the value of k such that P(X < k) = 0.2236; (c) the value of k such that P(X > k) = 0.1814;...
-
(a) Using the result of Problem 21 and 7.00 eV for copper's Fermi energy, determine how much energy would be released by the conduction electrons in a copper coin with mass 3.10 g if we could...
-
Silver is a monovalent metal. Calculate (a) The number density of conduction electrons, (b) The Fermi energy, (c) The Fermi speed, and (d) The de Broglie wavelength corresponding to this electron...
-
For the HiTech example (17.1), find the risk-neutral probability of default. Example 17.1 (A leveraged firm) The HiTech firm currently has a value of $1 mil- lion and is financed in part by a 5-year...
-
Construct a short rate lattice for periods (years) 0 through 9 with an initial rate of \(6 \%\) and with successive rates determined by a multiplicative factor of either \(u=1.2\) or \(d=9\). Assign...
-
Let \(V_{k s}\) be the value of an adjustable-rate loan initiated at period \(k\) and state \(s\) with initial principal of 100 . The loan is to be fully paid at period \(n\). The interest rate...
Study smarter with the SolutionInn App