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Velocity of Electron in Bohr's Orbit Calculator

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✖Quantum Number describe values of conserved quantities in the dynamics of a quantum system.ⓘ Quantum Number [n_quantum]

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✖Velocity of Electron given BO is the speed at which the electron moves in a particular orbit.ⓘ Velocity of Electron in Bohr's Orbit [v_{e_BO}]

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Formula

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Velocity of Electron in Bohr's Orbit

Formula

v e_BO = \frac{{[Charge-e]}^{2}}{2 \cdot [Permitivity-vacuum] \cdot n quantum \cdot [hP]}

Example

273590.8 m/s = \frac{{[Charge-e]}^{2}}{2 \cdot [Permitivity-vacuum] \cdot 8 \cdot [hP]}

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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])
v_{e_BO} = ([Charge-e]^2)/(2*[Permitivity-vacuum]*n_quantum*[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

v_{e_BO} = ([Charge-e]^2)/(2*[Permitivity-vacuum]*n_quantum*[hP]) --> ([Charge-e]^2)/(2*[Permitivity-vacuum]*8*[hP])

Evaluating ... ...

v_{e_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)

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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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< Electrons and Orbits Calculators

Velocity of Electron in Bohr's Orbit

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

Potential Energy of Electron given Atomic Number

Go Potential Energy in Ev = (-(Atomic Number*([Charge-e]^2))/Radius of Orbit)

Total Energy of Electron

Go Total Energy = -1.085*(Atomic Number)^2/(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])
v_{e_BO} = ([Charge-e]^2)/(2*[Permitivity-vacuum]*n_quantum*[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 v_{e_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 (n_quantum) 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 v_{e_BO} = ([Charge-e]^2)/(2*[Permitivity-vacuum]*n_quantum*[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 (n_quantum). 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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