Question

Calculate the de Broglie wavelength of an electron if it is accelerated from rest by 41000 V as in the figure above. Suppose that the electron is relativistic if its kinetic energy is greater than 1% of the electron rest energy.

Answer #1

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.

What is the de Broglie wavelength and speed of an electron
accelerated by a
a potential difference of 250 V?

1. a) What is the de Broglie wavelength of an electron that is
accelerated through an electrical potential difference of 20 volts?
b) What is the de Broglie wavelength of a proton that is
accelerated through an electrical potential difference of 20
volts?

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...

PART A: What is the de Broglie wavelength of an electron
accelerated through 750 V ? Express your answer in nanometers.
PART B: What is the de Broglie wavelength of a proton
accelerated through the same potential difference?
Express your answer in nanometers.

(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.

A non-relativistic electron with mass m accelerates through a
potential difference V that is in volts.
a. What is the relationship between the kinetic energy and the
momentum of the electron? (Hint: Use your classical mechanics
knowledge)
b. Use the above relation and the conservation of energy to
derive the de Broglie wavelength ? = √ ℎ2 2??? .
c. Use the above expression to find the de Broglie wavelength of
a proton that has been accelerated from rest through...

If the de Broglie wavelength of an electron is 258 nm , what is
the kinetic energy of this electron?

What is the de Broglie wavelength of the wave associated with an
electron that has been accelerated from rest through a potential of
50.0 V? Compare your answer to the typical distance between atoms
in a solid crystal, about10−10 ?. Would you expect diffraction to
occur as these electrons pass between such atoms?

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

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