Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305932302
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 40, Problem 60AP
(a)
To determine
The graph of frequency versus maximum kinetic energy of photoelectrons using the given data.
(b)
To determine
The experimental value for Planck’s constant.
(c)
To determine
An experimental value for the work function for the surface.
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In a photoelectric experiment it is found that a stopping potential of 1.00 V is needed to stop all the electrons when incident light of wavelength 225 nm is used and 1.5 V is needed for light of
wavelength 207 nm.
From these data determine Planck's constant. (Enter your answer, in eV s, to at least four significant figures.)
4.2367e-15 X ev s
From these data determine the work function (in eV) of the metal.
4.6
X ev
Light of wavelength 350 nm falls on a potas-
sium surface, and the photoelectrons have a
maximum kinetic energy of 1.3 eV.
What is the work function of potassium?
The speed of light is 3 × 10° m/s and Planck's
J.s.
-34
constant is 6.63 × 10°
Answer in units of eV.
What is the threshold frequency for potas-
sium?
Answer in units of Hz.
The total power per unit area radiated by a black body at a
temperature Tis the area under the I(A,T')-versus-A curve as
shown in Figure S9.3. (a) Show that this power per unit area is
| 1(1,T) da = oT*
where I(A,T') is given by Planck's radiation law and o is a
constant independent of T. This result is known as Stefan's
law. (See Section 19.6.) To carry out the integration, you
should make the change of variable x= hc/Ak,Tand use
" x* dx _ m*
15
(b) Show that the Stefan-Boltzmann constant o has the
value
= 5.67 x 10-8 W/m? - K
15c
Chapter 40 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
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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- 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_forwardShow that Stefan’s law results from Planck’s radiation law. Hin: To compute the total power of blackbody radiation emitted across the entire spectrum of wavelengths at a given temperature, integrate Planck’s law over the entire spectrum P(T)=0I(,T)d. Use the substitution x=hckT and the tabulated value of the integral 0dx x 3( e x 1)=415arrow_forwardThe threshold frequency for a certain metal for photoelectric effect is 1.7 x 1015 Hz. When light of frequency 2.2 × 1015, Hz is incident on metal surface, the K.E. of emitted photoelectrons is 3.3 × 10- 19 J. Calculate Planck's constant.arrow_forward
- In a photoelectric experiment using a sodium surface, you find a stopping potential of 1.86 V for a wavelength of 300 nm and a stopping potential of 0.885 V for a wavelength of 393 nm. From these data find (a) a value for the Planck constant, (b) the work function for sodium, and (c) the cutoff wavelength Ao for sodium. (a) Number i (b) Number i (c) Number i Units Units Units >arrow_forwardIn a photoelectric experiment using a Potasium surface, you find a stopping potential of 0.57 V for a wavelength of 434 nm and a stopping potential of 2.30 V for a wavelength of 271 nm. Because this is an experiment, your value of Planck's constant will be slightly different from the official value. From these data find a) a value for Planck's constant h 8.81 x10-34 J . s b) the work function for Potasium 2.29 eV c) the cutoff wavelength for this metal 541.5 птarrow_forwardNeed help correcting the question screenshotted.arrow_forward
- PART A: A metal surface is illuminated with photons with a frequency f=1.5×10^15 Hz. The stopping potential for electrons photoemitted from the surface is 3.6 V. What is the work function of the metal? Answer= 2.6 eV PART B: A certain metal has a work function ϕ. What is the maximum photon wavelength that will produce photoemission? Express your answer in terms of ϕ,Planck's constant h, and the speed of light c. Answer= λ =hc/ϕ PART C: Electrons emitted from a metal surface with a work function ϕ = 2.8 eV have a corresponding stopping potential of V0 = 3.6 V. If a metal with a work functionϕnew = 2.2 eV is illuminated by the same wavelength of light, what will be the new stopping potential? Express your answer with the appropriate units. *Please answer Part C*arrow_forwardIn a photoelectric experiment it is found that a stopping potential of 1.00 V is needed to stop all the electrons when incident light of wavelength 264 nm is used and 2.3 V is needed for light of wavelength 207 nm. From these data determine Planck's constant. (Enter your answer, in eV · s, to at least four significant figures.) eV s From these data determine the work function (in eV) of the metal. eVarrow_forwardWrite the Photon energy equation. Explain the Photoelectric effect of light in relation to the conservation of energy. A sodium vapor lamp is placed at the center of a large sphere that absorbs all the light reaching it. The rate at which the lamp emits energy is 145 W; assume that the emission is entirely at a wavelength of 386 nm. Evaluate the rate at which the photon is absorbed by the lamp. Take: Planck's Constant h = 6.63 x 10-34 4 J.S Speed of light c = 3.00 x 10³ m/sarrow_forward
- Light of frequency 1.6 × 1015 Hz illuminates a piece of iron, and the iron emits photoelectrons with a maximum kinetic energy of 2.7 eV. What is the threshold frequency of the metal? Planck’s constant is 6.63 × 10−34 J · s. Answer in units of Hz.arrow_forwardIn a particular photoelectric experiment, a stopping potential of 2.1 V is measured when ultraviolet light with a wavelength of 290 nm is incident on a metal. Given the light of speed c = 3.0 x 108 m/s and Planck constant h = 6.625 x 10-34 J. s or 4.14 × 10-15 eV.s %3D (a) Describe and illustrate the photoelectric experiment and explain why it cannot be explained by classical physics. (b) Using the same setup and metal, determine the stopping potential if blue light with a wavelength of 440 nm is used, instead of the ultraviolet light. (c) Using the same setup and metal, describe what happened if a red light with a wavelength of 620 nm is used, instead of the ultraviolet light.arrow_forwardLight of frequency 0.790 × 10^15 Hz illuminates a sodium surface. The ejected photoelectrons are found to have a maximum kinetic energy of 1.01 eV. Calculate the work function of sodium. Planck’s constant is 6.63 × 10^−34 J · s .arrow_forward
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