Question

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.

Answer #1

According to de Broglie, electron revoloving around nucleus can be considered as a wave.

Only those wavelength which forms a standing waves will be allowed.

Condition for standing wave is that it should have nodes at the end point.

Total length of the orbit = circumference of the orbit

For an electron revolving in the nth orbit, condition for standing wave

According to de Broglie, if the circumference of the electron's
orbit in the hydrogen atom is twice the electron's wavelength,
_________
a) the electron wave does not close in on itself.
b) the orbit will be stable.
c) the orbit will cause the electron to emit a photon
d) the orbit will not be circular.

An electron in a hydrogen atom is in a state with n = 3.Find the
orbital angular momentum and z component of the orbital
angular momentum for each possible value of ℓ and m for
the electron. (Use the following as necessary: ℏ. Enter your
answers as comma-separated lists. Give exact answers. Do not
round.)
L =
Lz =

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. 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 your answer as a
percentage.The solution was .732% B. The mass of a golf ball is
45.9 g . If it leaves the tee with a speed of 70.0 m/s , what is
its corresponding wavelength?...

An electron has a de Broglie wavelength of 215 nm, what is the
speed of the electron?

(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.

Determine the wavelength of the light absorbed when an electron
in a hydrogen atom makes a transition from an orbital in which n =
3 to an orbital in which n =6.
Answer in nm please. Thank you.

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

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...

de Broglie wavelength of a 1.4 keV electron?
___ nm

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