According to classical physics, the average energy of an electron in an electron gas at thermal equilibrium is 3kT/2. Determine, for T = 300 K, the average electron energy (in eV), average electron momentum, and the de Broglie wavelength. 2.8
According to classical physics, the average energy of an electron in an electron gas at thermal equilibrium is 3kT/2. Determine, for T = 300 K, the average electron energy (in eV), average electron momentum, and the de Broglie wavelength. 2.8
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Question 2.8 with detailed calculations please
Transcribed Image Text:emission of electrons for gold and cesium.
(a) The wavelength of green light is A = 550 nm. If an electron has the same wave-
length, determine the electron velocity and momentum. (b) Repeat part (a) for red
light with a wavelength of A
the photon equal to the momentum of the electron?
Determine the de Broglie wavelength for (a) an electron with kinetic energy of
(i) 1.2 eV, (ii) 12 eV, (iii) 120 eV; and for (b) a hydrogen atom with a kinetic energy
2.6
440 nm. (c) For parts (a) and (b), is the momentum of
2.7
of 1.2 eV.
According to classical physics, the average energy of an electron in an electron gas at
thermal equilibrium is 3kT/2. Determine, for T = 300 K, the average electron energy
(in eV), average electron momentum, and the de Broglie wavelength.
2.8
An electron and a photon have the same energy. At what value of energy (in eV) will
the wavelength of the photon be 10 times that of the electron?
2.9
2.10 (a) The de Broglie wavelength of an electron is 85 Å. Determine the electron
energy (eV), momentum, and velocity. (b) An electron is moving with a velocity of
8 X 10 cm/s. Determine the electron energy (eV), momentum, and de Broglie wave-
length (in Å).
It is desired to produce x-ray radiation with a wavelength of 1 Å. (a) Through what
potential voltage difference must the electron be accelerated in vacuum so that it can,
upon colliding with a target, generate such a photon? (Assume that all of the elec-
tron's energy is transferred to the photon.) (b) What is the de Broglie wavelength of
the electron in part (a) just before it hits the target?
2.11
2.12
When the uncertainty princinle is considered it is not possible to locate a photon in
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