What is the threshold frequency of cesium?

Chemistry: Principles and Reactions
8th Edition
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:William L. Masterton, Cecile N. Hurley
Chapter6: Electronic Structure And The Periodic Table
Section: Chapter Questions
Problem 80QAP: In the photoelectric effect, electrons are ejected from a metal surface when light strikes it. A...
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The Photoelectric Effect
Electrons are emitted from the surface of a metal when it's exposed to light.
This is called the photoelectric effect. Each metal has a certain threshold
frequency of light, below which nothing happens. Right at this threshold
frequency, an electron is emitted. Above this frequency, the electron is
emitted and the extra energy is transferred to the electron.
Here are some data collected on a sample of cesium exposed to various energies of light.
Light energy
(eV)
Electron KE
(eV)
Electron emitted?
The equation for this phenomenon is
3.87
no
KE= hv – hv
3.88
no
where KEis the kinetic energy of the emitted electron,
h= 6.63 x 10 34 J.s is Planck's constant, v is the frequency of the light,
3.89
yes
3.90
yes
0.01
and vo is the threshold frequency of the metal.
3.91
yes
0.02
Also, since E== hv, the equation can also be written as
*Note that 1 eV (electron volt) = 1.60 x 10–19 J.
КЕ-Е-Ф
where E is the energy of the light and ø is the binding energy of the
electron in the metal.
Part A
What is the threshold frequency vo of cesium?
Express your answer numerically in hertz.
View Available Hint(s)
ν ΑΣφ
?
Vo =
Hz
Transcribed Image Text:The Photoelectric Effect Electrons are emitted from the surface of a metal when it's exposed to light. This is called the photoelectric effect. Each metal has a certain threshold frequency of light, below which nothing happens. Right at this threshold frequency, an electron is emitted. Above this frequency, the electron is emitted and the extra energy is transferred to the electron. Here are some data collected on a sample of cesium exposed to various energies of light. Light energy (eV) Electron KE (eV) Electron emitted? The equation for this phenomenon is 3.87 no KE= hv – hv 3.88 no where KEis the kinetic energy of the emitted electron, h= 6.63 x 10 34 J.s is Planck's constant, v is the frequency of the light, 3.89 yes 3.90 yes 0.01 and vo is the threshold frequency of the metal. 3.91 yes 0.02 Also, since E== hv, the equation can also be written as *Note that 1 eV (electron volt) = 1.60 x 10–19 J. КЕ-Е-Ф where E is the energy of the light and ø is the binding energy of the electron in the metal. Part A What is the threshold frequency vo of cesium? Express your answer numerically in hertz. View Available Hint(s) ν ΑΣφ ? Vo = Hz
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