Question

Define Boltzman limit in terms of de Broglie
wavelength, and verify if the Boltzmann limit

is applicable to an argon gas at 10 degrees centigrade at 1 atm.
Mass of Ar gas is ~

6×10-26 kg.

Answer #1

Calculate the de Broglie wavelength of (a) a
0.613 keV electron (mass = 9.109 × 10-31 kg),
(b) a 0.613 keV photon, and (c) a
0.613 keV neutron (mass = 1.675 × 10-27 kg).

Calculate the de Broglie wavelength of
(a) a 0.942 keV electron (mass = 9.109 ×
10-31 kg),
(b) a 0.942 keV photon, and
(c) a 0.942 keV neutron (mass = 1.675 ×
10-27 kg).

A. The mass of an electron is 9.11×10−31 kg. If the de Broglie
wavelength for an electron in a hydrogen atom is 3.31×10−10 m, how
fast is the electron moving relative to the speed of light? The
speed of light is 3.00×108 m/s. Calculate your answer as a
percentage.The solution was .732% B. The mass of a golf ball is
45.9 g . If it leaves the tee with a speed of 70.0 m/s , what is
its corresponding wavelength?...

Compare the de Broglie wavelength of a 0.015-kg ball moving at
40 m/s to that of an electron which has a speed of
0.0073c. Given: mass of electron = 9.11 x
10-31kg, speed of light = c = 3 x 108
m/s.

Calculate the linear momentum, and the de Broglie wavelength
of:
a) a 0.75 kg bullet that is fired at a speed of 100 m /
s,
b) a non-relativistic electron with a kinetic energy of 2.0
eV, and
c) a relativistic electron with a kinetic energy of 208
keV.
!!!! # !! Remember that for relativistic particles: ? = ? ? +
? "? and ? = ?? = ? + ?" ?, the mass
of the electron is 9.11...

Louis de Broglie's bold hypothesis assumes that it is possible
to assign a wavelength λ to every particle possessing some momentum
p by the relationship λ = h p , where h is Planck's constant ( h =
6.626 × 10 − 34 J ⋅ s ). This applies not only to subatomic
particles like electrons, but every particle and object that has a
momentum. To help you develop some number sense for de Broglie
wavelengths of common, everyday objects,...

A He atom with a mass of 6.65×10−27 kg has a de
Broglie wavelength of 4.3×10−12 m. What is the velocity of the
He atom, in meters per second?
Use 6.626×10−34kg m2s for Planck's constant.
Your answer should include two significant figures.

Calculate the de Broglie wavelength of helium nucleus (mass = 6.64
x 10^-27 kg) moving at a velocity of 2.54 x 10^7 m/s
A. 6.57 x 10^-14 m
B. 3.96 x 10^-15 m
C. 8.68 x 10^-59 m
D. 4.55 x 10^8
E. 8.64 x 10^-16

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