The mass of an electron is 9.11×10−31 kg. If the de Broglie
wavelength for an electron...
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 the de Broglie wavelength of (a) a
0.715 keV electron (mass = 9.109 × 10-31 kg),
(b) a 0.715 keV photon, and (c) a
0.715 keV neutron (mass = 1.675 × 10-27 kg).
An electron (mass m1 = 9.11 x
10-31 kg) and a proton (mass m2 =
1.67 x10-27 kg) attract each other via an electrical
force. Suppose that an electron and a proton are released from rest
with an initial separation d = 2.40 x 10-6 m.
When their separation has decreased to 0.510 x 10-6 m,
what is the ratio of (a) the electron's linear
momentum magnitude to the proton's linear momentum magnitude,
(b) the electron's speed to the proton's...
a) Derive an expression for the de Broglie wavelength of an
electron in the Bohr model of the hydrogen atom as a function of a0
and n.
b) Assume the uncertainty of the electron’s position is the
diameter of its Bohr orbit. Derive an expression for the minimum
uncertainty in electron’s velocity, (∆vn) as function of a0 and n
(and other constants).
c) Use quantization of angular momentum to write an expression
for the velocity as a function of n,...
At t = 0, an electron (mass = 9.11 ×10-31 kg) is released from
rest 1.00 meter above the center of a charged, circular ring, which
has a total charge of –3.00 nC. The diameter of the ring is 2.00
meters and the plane of the ring is oriented horizontally. What are
the magnitude and direction of the acceleration of the electron,
just after it is released?
An electron has a de Broglie wavelength of 235 nm .What is the
speed of the electron?
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How much energy is contained in 1 mol of γ-ray photons
with a wavelength of 2.43×10−5 nm . ?
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In a technique used for surface analysis called auger electron
spectroscopy (AES), electrons are accelerated toward a metal
surface. These electrons cause the emissions of secondary
electrons-called auger electrons-from the metal surface. The
kinetic energy of the auger electrons depends on the...
1. For what kinetic energy is the de Broglie wavelength
of an electron equal to its Compton wavelength? Express your answer
in units of mc2 in doing the calculation, and then use mc2 = 0.5
MeV.(Answer: 0.2 MeV)
2. A beam of electrons with energy 1.0 eV approaches a
potential barrier with U = 2.0 eV, whose width is 0.10 nm (see a
figure below). Estimate the fraction of electrons that tunnel
through the barrier. (Hint: use the relation of...
Describe dual nature of matter? Write de Broglie wavelength and
frequency? Explain the electron microscope?
Write Bohr’s theory and assumptions for hydrogen atom with
energy level diagram? Write Bohr’s correspondence principle?
Calculate the length of the de broglie wave of an electron and a
proton moving with a kinetic energy of 1keV. For what values of
kinetic energy will their wavelength be equal to 0.1 nm?
me = 9.1.10 31kg, e =
1.602.10-19C, mp = 1.627.10-27 kg
An electron, with a mass of 9.11×10−28 g is orbiting the nucleus
of a hydrogen atom. A measurement determines the position of the
electron to within ±1.63 nm. The velocity of the electron is
measured as 6.39×106 m/s. What is the uncertainty in the velocity
of the electron?