What are Matter (de Broglie) Waves?
If matter has a wave nature, why is this wave-like...
What are Matter (de Broglie) Waves?
If matter has a wave nature, why is this wave-like
characteristic not observable in our daily experiences? How can
matter have a dual wave-particle nature?
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 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...
The Schrodinger equation is effectively the classical wave
equation recast to account for matter waves by using the deBroglie
relation. The simplest possible application of the Schrodinger
equation is the so-called free particle system where potential
energy, V(x)=0.
a) Show that plane waves, such as , are solutions (k is the
wavevector).
b) Use your solution above to find the energy of a free
particle.
c) What values are possible for position, x, and momentum,
p.
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...
Explain what physicists mean when they say that the de Broglie
wavelength relates to the probability distribution wave function.
Please be specific and do not copy and paste previous answers.
Consider the following equations for traveling waves on two different strings:(a) Which wave has the faster wave speed? What is that speed? (b) Which wave has the longer wavelength? What is that wavelength? (c) Which wave has the faster maximum speed of a point in the medium? What is that speed? (d) Which wave is moving in the positive x-direction?
An electron has a non-relativistic speed of v=1.5×10^5 m / s.
Determine:
A) Its de Broglie wavelength.
B) Its kinetic energy.
C) The resting energy of the electron in joules and in electron
volts.
d) What is the speed of the electron if the relativistic kinetic
energy is equal to the rest energy?
e) The momentum of the electron at a speed of 0.80c.
f) The de Broglie wavelength for electron with a speed of
0.80c.
What is the wavelength of the matter wave associated with a
proton moving at 381 m/s?
wavelength of proton matter wave: 1.04×10^9 m
What is the wavelength of the matter wave associated with a 151
kg astronaut (including her spacesuit) moving at the same
speed?
wavelength of astronaut matter wave: 1.15×10^-38 m
What is the wavelength of the matter wave associated with Earth
moving along its orbit around the Sun?
wavelength of Earth matter wave: ??? m
I got the...