Question

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 x 10-31 kg and its charge is
-1.6x10-19 C.

Answer #1

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If the De Broglie wavelength of an electron is equal to 450
nm calculate the velocity of the electron. Assume that the
electron's speed is non-relativistic.
Tries 0/10
If the kinetic energy of an electron is 170 eV,
calculate its De Broglie wavelength. For this non-relativistic
electron you must first calculate its velocity from the general
kinetic energy equation. Then you can find the De Broglie
wavelength of the electron.

A non-relativistic electron has a kinetic energy of 5.4 eV. What
is the energy of a photon whose wavelength is the same as the de
-Broglie wavelength of the electron?
the electron?
A) 2.4 keV B) 2.2 keV C) 2.0 keV D) 2.5 keV E) 2.7 keV

(a) An electron has a de Broglie wavelength of 2 pm. Calculate
the relativistic velocity of the electron in terms of c.
(b) A beam of 1.9 eV electrons bombards a sample of hydrogen. If
a spectral line of the Balmer series is observed, calculate the
initial energy level, n-i of the electron.

What is the kinetic energy in eV of an electron whose de Broglie
wavelength is 18 % of the wavelength of a photon having the energy
equal to electrons kinetic energy?
Answer in eV

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).

Calculate the de Broglie wavelength of a ? - particle ejected
from the nucleus of a radioactive element with a kinetic energy of
7.5 eV. What is the frequency of a photon with the same
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.

The de Broglie wavelength of a quantum-mechanical particle with
momentum p is given by Y=h/p, where h is plancks constant. Use this
to show that Fermi energy for a free Fermi gas is, with a numerical
factor, equal to the kinetic energy of a particle whose de Broglie
wavelength is equal to the average interparticle spacing in the
gas.

What is the de Broglie wavelength of an electron (m = 9.11 ×
10^–31 kg) in a 5.0 × 10^3-volt X-ray tube?
a. 0.017 nm
b. 0.007 nm
c. 0.028 nm
d. 0.034 nm
e. 0.014 nm

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