Created By : Naaz Fatima

Reviewed By : Rajashekhar Valipishetty

Last Updated : Apr 10, 2023

Make use of the free Bohr's Model Calculator to get the frequency of the electromagnetic wave that is emitted or absorbed at the transition of an electron in an atom. It takes the initial and final energy levels of the electron and generates the frequency as output in a less amount of time.

Final Enery level of Electron E1
Initial Enery level of Electron E2

How to Solve Bohr Model?

These are the manual steps to compute the electromagnetic waves frequency using the Bohr's model. Follow these guiding principles to get the output.

  • Let us take the initial energy, final energy level of the electron.
  • Subtract the final energy level from the initial energy level.
  • Divide the result by the Planck's constant.

Bohr's Model Definition

Bohr's model defines the atom as a small and positively charged nucleus surrounded by electrons that travel in circular orbits around the nucleus similar in structure to the solar system. It was proposed by Neil Bohr in 1915. The four important principles of the Bohr model is along the lines:

  1. Angular momentum of orbiting electron is quantized.
  2. The electron revolves in a circular orbit around the nucleus.
  3. The electron can orbit without losing energy due to radiating.
  4. The electron jump from different energy levels with emitting or absorbing the photon.

The relationship between frequency and energy in the Bohr model gives the frequency of emitted or absorbed by the electron. Bohr model equation is here

ΔE = E2 - E1 = h x f

E1 is the initial energy level of the electron

E2 is the final energy level of the electron

ΔE is the difference of those energies

f is the frequency of the absorbed or emitted electromagnetic wave

h is the Planck's constant and its value is 6.6261 x 10-34 Js.


Question: In an atom, the initial energy level of the electron is 15 eV and final energy level is 24 eV. Find the frequency of the electromagnetic wave?


Given that

Initial energy level E1 = 15 eV

final energy level E2 = 24 eV

Bohr's model equation is E2 - E1 = h x f

f = (E2 - E1)/h

f = (24 - 15)/6.6261 x 10-34

= 1.358 x 10-34

Therefore, the frequency is 1.358 x 10-34 THz.

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Frequently Asked Questions on Bohrs Model Calculator

1. How to calculate the frequency of electromagnetic waves using Bohr's model?

The simple steps to find Bohr's model frequency are to get the energy difference of the electrons and divide it by Planck's constant.

2. What are the limitations of Bohr's model of an atom?

The limitations of Bohr's model area are as follows:

  • It fails to explain the effect of the electric field on the atoms spectra and the Zeeman effect.
  • It can't explain the spectra obtained from larger atoms.
  • It violates the Heisenberg Uncertainty Principle.

3. What are the 4 principles of Bohr's model?

The four important principles of the Bohr model are electrons occupy only certain orbits around the nucleus. Those orbits are called stationary orbits. Energy is emitted when the electron jumps from higher to lower orders and absorbed when jumps from a lower orbit to the higher. Every orbit has an energy associated with it. The amount of energy absorbed or emitted can be calculated using the orbital energies difference.

4. How to find Bohr's radius?

The simple formula to calculate the Bohr's radius is r = (4πϵ0. n2ħ2)/(mze2). Solve the equation after substituting the values in the formula.