9. Quantum Mechanics

Bohr Equation

9. Quantum Mechanics

# Bohr Equation - Video Tutorials & Practice Problems

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In the **Bohr Equation**, the energy and wavelength a photon is related to its energy shell transitions.

Bohr Equations

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concept

## Bohr Equation

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example

## Bohr Equation Example 1

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Problem

ProblemWhat is the wavelength of a photon (in nm) absorbed during a transition from the n = 2 to n = 5 state in the hydrogen atom?

A

369 nm

B

587 nm

C

293 nm

D

434 nm

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Problem

ProblemDetermine the end (final) value of n in a hydrogen atom transition, if the electron starts in n = 5 and the atom releases a photon of light with an energy of 4.5738 × 10^{-19} J.

A

4

B

2

C

3

D

1

5

Problem

ProblemAn electron releases energy as it moves from the 6^{th} shell to the 3^{rd} shell. If it releases 4.25 x 10^{9} kJ of energy at a wavelength of 915.7 nm, how many photons were released in the process?

A

8.96 x 10

^{31}photonsB

1.96 x 10

^{31}photonsC

1.82 x 10

^{29}photonsD

2.98 x 10

^{31}photons## Do you want more practice?

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PRACTICE PROBLEMS AND ACTIVITIES (37)

- Consider the three electronic transitions in a hydrogen atom shown here, labeled A, B, and C. (c) Calculate th...
- Consider the three electronic transitions in a hydrogen atom shown here, labeled A, B, and C. (b) Calculate th...
- Calculate the wavelength in nm of the light emitted when an electron makes a transition from an orbital in n =...
- The visible emission lines observed by Balmer all involved nf = 2. (b) Calculate the wavelengths of the firs...
- The Lyman series of emission lines of the hydrogen atom are those for which nf = 1. (b) Calculate the waveleng...
- One of the emission lines of the hydrogen atom has a wavelength of 94.974 nm. (b) Determine the initial and ...
- Order the following transitions in the hydrogen atom from smallest to largest frequency of light absorbed: n =...
- Calculate the wavelength and energy in kilojoules necessary to completely remove an electron from the second s...
- Use the Balmer equation to calculate the wavelength in nano-meters of the spectral line for hydrogen when n = ...
- Calculate the wavelength of the light emitted when an electron in a hydrogen atom makes each transition and in...
- Calculate the frequency of the light emitted when an electron in a hydrogen atom makes each transition: a. n =...
- An electron in the n = 7 level of the hydrogen atom relaxes to a lower-energy level, emitting light of 397 nm...
- An electron in a hydrogen atom relaxes to the n = 4 level, emitting light of 114 THz. What is the value of n f...
- An atomic emission spectrum of hydrogen shows three wavelengths: 1875 nm, 1282 nm, and 1093 nm. Assign these...
- An atomic emission spectrum of hydrogen shows three wavelengths: 121.5 nm, 102.6 nm, and 97.23 nm. Assign thes...
- Consider a transition in which the electron of a hydrogen atom is excited from n = 1 to n = . (d) How are the...
- Consider a transition in which the electron of a hydrogen atom is excited from n = 1 to n = . (b) What is the ...
- Consider a transition in which the electron of a hydrogen atom is excited from n = 1 to n = . (a) What is the...
- The series of emission lines of the hydrogen atom for which nf = 4 is called the Brackett series. (b) Calcula...
- Orbital energies in single-electron atoms or ions, such as He+, can be described with an equation similar to t...
- In the Bohr model of atomic structure, electrons are constrained to orbit a nucleus at specific distances, giv...
- (b) What wavelength of light is emitted by the process?
- (c) The hydrogen atom now has a single electron in the 3d subshell. What is the energy in kJ>mol required t...
- (c) The energy required to completely remove the outermost electron from the excited xenon atom is 369 kJ/mol,...
- Calculate the frequency of the light emitted when an electron in a hydrogen atom makes each of the following t...
- Which wavelength in the hydrogen emission spectrum corresponds to the transition from n=5 to n=2?
- If our eyes could see a slightly wider region of the electromagnetic spectrum, we would see a fifth line in th...
- Calculate the energy of a photon emitted when an electron in a hydrogen atom undergoes a transition from 𝑛=6 ...
- What is the frequency of light that corresponds to the transition of the electron from the n = 3 to the n = on...
- Determine the energy change associated with the transition from n = 2 to n = 5 in the hydrogen atom.
- An electron in the n = 7 level of the hydrogen atom relaxes to a lower energy level, emitting light of 397 nm....
- What is the wavelength λ of the photon that has been released in part b?
- What is the value of n for the level in which the electron originated?
- What is the wavelength, in nanometers, of the bright line of the hydrogen emission spectrum corresponding to t...
- An electron in a hydrogen atom relaxes to the n=4 level, emitting light of 114 thz.
- An electron in a hydrogen atom relaxes to the n=4 level, emitting light of 138 thz.
- An electron in the n=7 level