(c) The kinetic energy, K₁, of electrons emitted from a metal surface after irradiation with UV light of wavelength λ is given by: hc Kg Kε = π = $ 2 where his Planck's constant (6.626 x 10-4 Js), c is the speed of light in a vacuum (2.99 x 108 m s¹), and is the work function of the metal surface. In a specific experiment, light with a wavelength of 266 nm was used to irradiate a cadmium (Cd) metal surface. (1) Calculate the photon energy of the light used in the experiment, in Joules. (II) The work function for cadmium is 4.08 eV. Calculate the kinetic energy of the emitted electrons. [Note: 1 eV = 1.60 × 10-1⁹ J.] (iii) The work function for scandium is 5.61 x 10-19 J. Calculate the wavelength of the lowest energy photon that would cause emission of electrons from a scandium surface.
(c) The kinetic energy, K₁, of electrons emitted from a metal surface after irradiation with UV light of wavelength λ is given by: hc Kg Kε = π = $ 2 where his Planck's constant (6.626 x 10-4 Js), c is the speed of light in a vacuum (2.99 x 108 m s¹), and is the work function of the metal surface. In a specific experiment, light with a wavelength of 266 nm was used to irradiate a cadmium (Cd) metal surface. (1) Calculate the photon energy of the light used in the experiment, in Joules. (II) The work function for cadmium is 4.08 eV. Calculate the kinetic energy of the emitted electrons. [Note: 1 eV = 1.60 × 10-1⁹ J.] (iii) The work function for scandium is 5.61 x 10-19 J. Calculate the wavelength of the lowest energy photon that would cause emission of electrons from a scandium surface.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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
Transcribed Image Text:(c) The kinetic energy, K, of electrons emitted from a metal surface after irradiation
with UV light of wavelength is given by:
Kg =
hc
$
where h is Planck's constant (6.626 x 10-4 Js), c is the speed of light in a vacuum
(2.99 × 108 m s¹), and is the work function of the metal surface.
In a specific experiment, light with a wavelength of 266 nm was used to irradiate a
cadmium (Cd) metal surface.
(1)
Calculate the photon energy of the light used in the experiment, in Joules.
(II) The work function for cadmium is 4.08 eV. Calculate the kinetic energy of the
emitted electrons.
[Note: 1 eV = 1.60 × 10-19 J.)
(iii) The work function for scandium is 5.61 x 10-19 J. Calculate the wavelength of
the lowest energy photon that would cause emission of electrons from a
scandium surface.
(iv) Irradiation of scandium with 335 nm light results in electrons emitted with a
kinetic energy of 3.20 x 10-19 J. Calculate the de Broglie wavelength of the
emitted electrons.
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