Velocity of Electron in Bohr's Orbit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])
ve_BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*nquantum*[hP])
This formula uses 3 Constants, 2 Variables
Constants Used
[Permitivity-vacuum] - Permittivity of vacuum Value Taken As 8.85E-12
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[hP] - Planck constant Value Taken As 6.626070040E-34
Variables Used
Velocity of Electron given BO - (Measured in Meter per Second) - Velocity of Electron given BO is the speed at which the electron moves in a particular orbit.
Quantum Number - Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
STEP 1: Convert Input(s) to Base Unit
Quantum Number: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ve_BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*nquantum*[hP]) --> ([Charge-e]^2)/(2*[Permitivity-vacuum]*8*[hP])
Evaluating ... ...
ve_BO = 273590.809430898
STEP 3: Convert Result to Output's Unit
273590.809430898 Meter per Second --> No Conversion Required
FINAL ANSWER
273590.809430898 273590.8 Meter per Second <-- Velocity of Electron given BO
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
Verifier Image
Verified by Suman Ray Pramanik
Indian Institute of Technology (IIT), Kanpur
Suman Ray Pramanik has verified this Calculator and 100+ more calculators!

Electrons and Orbits Calculators

Velocity of Electron in Bohr's Orbit
​ LaTeX ​ Go Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])
Potential Energy of Electron given Atomic Number
​ LaTeX ​ Go Potential Energy in Ev = (-(Atomic Number*([Charge-e]^2))/Radius of Orbit)
Total Energy of Electron
​ LaTeX ​ Go Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2
Orbital Frequency of Electron
​ LaTeX ​ Go Orbital Frequency = 1/Time Period of Electron

Velocity of Electron in Bohr's Orbit Formula

​LaTeX ​Go
Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])
ve_BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*nquantum*[hP])

What is the Bohr's model?

Bohr introduced the concept of radiationless orbits in which the electrons revolve as usual around the nucleus but without radiating any kind of energy which is contrary to the laws of electromagnetism. This was a hypothesis, but at least a working one.
Radiation occurred only when an electron made a transition from one stationary state to another. The difference between the energies of the two states was radiated as a single photon. Absorption occurred when a transition occurred from a lower stationary state to a higher stationary state.
He also introduced the correspondence principle which states that the spectrum is continuous and the frequency of light emitted equals the frequency of the electron.

How to Calculate Velocity of Electron in Bohr's Orbit?

Velocity of Electron in Bohr's Orbit calculator uses Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP]) to calculate the Velocity of Electron given BO, The Velocity of electron in Bohr's orbit is a vector quantity (it has both magnitude and direction) and is the time rate of change of position (of a particle). Velocity of Electron given BO is denoted by ve_BO symbol.

How to calculate Velocity of Electron in Bohr's Orbit using this online calculator? To use this online calculator for Velocity of Electron in Bohr's Orbit, enter Quantum Number (nquantum) and hit the calculate button. Here is how the Velocity of Electron in Bohr's Orbit calculation can be explained with given input values -> 273590.8 = ([Charge-e]^2)/(2*[Permitivity-vacuum]*8*[hP]).

FAQ

What is Velocity of Electron in Bohr's Orbit?
The Velocity of electron in Bohr's orbit is a vector quantity (it has both magnitude and direction) and is the time rate of change of position (of a particle) and is represented as ve_BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*nquantum*[hP]) or Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP]). Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
How to calculate Velocity of Electron in Bohr's Orbit?
The Velocity of electron in Bohr's orbit is a vector quantity (it has both magnitude and direction) and is the time rate of change of position (of a particle) is calculated using Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP]). To calculate Velocity of Electron in Bohr's Orbit, you need Quantum Number (nquantum). With our tool, you need to enter the respective value for Quantum Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!