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

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
Verified by Suman Ray Pramanik
Indian Institute of Technology (IIT), Kanpur
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16 Electrons & Orbits Calculators

Change in Wave Number of Moving Particle
Go Wave Number of moving Particle = 1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2)/((Final Quantum Number^2)*(Initial Quantum Number^2))
Change in Wavelength of Moving Particle
Go Wave Number = ((Final Quantum Number^2)*(Initial Quantum Number^2))/(1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2))
Total Energy of Electron in nth Orbit
Go Total Energy of Atom given nth Orbital = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2)))
Velocity of Electron in Bohr's Orbit
Go Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])
Energy Gap between Two Orbits
Go Energy of Electron in Orbit = [Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
Velocity of Electron given Time Period of Electron
Go Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron
Total Energy of Electron given Atomic Number
Go Total Energy of Atom given AN = -(Atomic Number*([Charge-e]^2))/(2*Radius of Orbit)
Potential Energy of Electron given Atomic Number
Go Potential Energy in Ev = (-(Atomic Number*([Charge-e]^2))/Radius of Orbit)
Energy of Electron in Final Orbit
Go Energy of Electron in Orbit = (-([Rydberg]/(Final Quantum Number^2)))
Velocity of Electron in Orbit given Angular Velocity
Go Velocity of Electron given AV = Angular Velocity*Radius of Orbit
Energy of Electron in Initial Orbit
Go Energy of Electron in Orbit = (-([Rydberg]/(Initial Orbit^2)))
Total Energy of Electron
Go Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2
Atomic Mass
Go Atomic Mass = Total Mass of Proton+Total Mass of Neutron
Number of Electrons in nth Shell
Go Number of Electrons in nth Shell = (2*(Quantum Number^2))
Number of Orbitals in nth Shell
Go Number of Orbitals in nth Shell = (Quantum Number^2)
Orbital Frequency of Electron
Go Orbital Frequency = 1/Time Period of Electron

Velocity of Electron in Bohr's Orbit Formula

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.
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