Question

(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.

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 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

A relativistic electron has a de Broglie wavelength of 646 fm (1
fm = 10−15 m). 1) Determine its velocity

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...

Find the de Broglie wavelength of an electron with a speed of
0.95c. Take relativistic effects into account.

Energy, Wavelength, Frequency Problem: Show your work neatly and
methodically.
Consider an electron in the hydrogen atom giving off light which
has a wavelength of 625 nm, according to the Balmer Series.
a) From what energy level in the hydrogen atom did the electron
fall to emit this light?
b) What is the frequency of this light?
c) What is the energy of this light?
2. a) Use the de Broglie relationship to determine the
wavelength of a 85 kg...

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

An electron in a hydrogen-like atom in the n = 3 orbital has a
de Broglie wavelength of 1.89x10-10 m.
Calculate the orbit radius of the electron, in nm.

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?

Calculate the de Broglie wavelength for a proton with a velocity
3.98% of the speed of light..

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