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## Credits

National Institute of Technology (NIT), Jamshedpur
Anirudh Singh has created this Calculator and 200+ more calculators!
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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## Velocity of the Particle Solution

STEP 0: Pre-Calculation Summary
Formula Used
velocity = (Quantum Number*Plancks Constant)/(Mass*Radius*2*pi)
v = (n*h)/(m*r*2*pi)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Quantum Number- Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
Plancks Constant- Plancks Constant is the quantum of electromagnetic action that relates a photon's energy to its frequency.
Mass - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it. (Measured in Kilogram)
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Quantum Number: 1 --> No Conversion Required
Plancks Constant: 1 --> No Conversion Required
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Radius: 18 Centimeter --> 0.18 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = (n*h)/(m*r*2*pi) --> (1*1)/(35.45*0.18*2*pi)
Evaluating ... ...
v = 0.0249420064397266
STEP 3: Convert Result to Output's Unit
0.0249420064397266 Meter per Second --> No Conversion Required
0.0249420064397266 Meter per Second <-- Velocity
(Calculation completed in 00.016 seconds)

## < 10+ Bohr's atomic model Calculators

Radius of Bohr's orbit
radius_of_orbit = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic number*([Charge-e]^2)) Go
Total energy of electron in nth orbit
energy = (-([Mass-e]*([Charge-e]^4)*(Atomic number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2))) Go
Radius of Bohr's orbit for the Hydrogen atom
radius_of_orbit = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2)) Go
Ionization potential
ionization_potential = ([Rydberg]*(Atomic number^2))/(Quantum Number^2) Go
Time period of revolution of electron
time_period_of_electron = (2*pi*Radius of orbit)/Velocity of electron Go
Radius of orbit when kinetic energy of electron is given
radius_of_orbit = (Atomic number*([Charge-e]^2))/(2*Kinetic Energy) Go
Velocity of electron in orbit when angular velocity is given
velocity_of_electron = Angular Velocity*Radius of orbit Go
Radius of orbit when angular velocity is given
radius_of_orbit = Velocity of electron/Angular Velocity Go
Angular velocity of electron
angular_velocity = Velocity of electron/Radius of orbit Go
Wave number when frequency of photon is given
wave_number_of_particle = Frequency of photon/[c] Go

### Velocity of the Particle Formula

velocity = (Quantum Number*Plancks Constant)/(Mass*Radius*2*pi)
v = (n*h)/(m*r*2*pi)

## What is Bohr's theory?

Bohr's theory is a theory for the hydrogen atom based on quantum theory that energy is transferred only in certain well defined quantities.

## How to Calculate Velocity of the Particle?

Velocity of the Particle calculator uses velocity = (Quantum Number*Plancks Constant)/(Mass*Radius*2*pi) to calculate the Velocity, The Velocity Of The Particle formula is defined as the distance covered by the particle in unit time about the nucleus of the atom. Velocity and is denoted by v symbol.

How to calculate Velocity of the Particle using this online calculator? To use this online calculator for Velocity of the Particle, enter Quantum Number (n), Plancks Constant (h), Mass (m) and Radius (r) and hit the calculate button. Here is how the Velocity of the Particle calculation can be explained with given input values -> 0.024942 = (1*1)/(35.45*0.18*2*pi).

### FAQ

What is Velocity of the Particle?
The Velocity Of The Particle formula is defined as the distance covered by the particle in unit time about the nucleus of the atom and is represented as v = (n*h)/(m*r*2*pi) or velocity = (Quantum Number*Plancks Constant)/(Mass*Radius*2*pi). Quantum Number describe values of conserved quantities in the dynamics of a quantum system, Plancks Constant is the quantum of electromagnetic action that relates a photon's energy to its frequency, Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it and Radius is a radial line from the focus to any point of a curve.
How to calculate Velocity of the Particle?
The Velocity Of The Particle formula is defined as the distance covered by the particle in unit time about the nucleus of the atom is calculated using velocity = (Quantum Number*Plancks Constant)/(Mass*Radius*2*pi). To calculate Velocity of the Particle, you need Quantum Number (n), Plancks Constant (h), Mass (m) and Radius (r). With our tool, you need to enter the respective value for Quantum Number, Plancks Constant, Mass and Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Velocity?
In this formula, Velocity uses Quantum Number, Plancks Constant, Mass and Radius. We can use 10 other way(s) to calculate the same, which is/are as follows -
• radius_of_orbit = (Atomic number*([Charge-e]^2))/(2*Kinetic Energy)
• velocity_of_electron = Angular Velocity*Radius of orbit
• radius_of_orbit = Velocity of electron/Angular Velocity
• radius_of_orbit = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic number*([Charge-e]^2))
• radius_of_orbit = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2))
• energy = (-([Mass-e]*([Charge-e]^4)*(Atomic number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2)))
• angular_velocity = Velocity of electron/Radius of orbit
• wave_number_of_particle = Frequency of photon/[c]
• ionization_potential = ([Rydberg]*(Atomic number^2))/(Quantum Number^2)
• time_period_of_electron = (2*pi*Radius of orbit)/Velocity of electron
Where is the Velocity of the Particle calculator used?
Among many, Velocity of the Particle calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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