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## Credits

National Institute of Technology (NIT), Jamshedpur
Anirudh Singh has created this Calculator and 200+ more calculators!
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## Bohr's Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
radius = (Quantum Number/Atomic number)*0.529*10^-10
r = (n/Z)*0.529*10^-10
This formula uses 2 Variables
Variables Used
Quantum Number- Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
Atomic number- Atomic number is the number of protons present inside the nucleus of an atom of an element.
STEP 1: Convert Input(s) to Base Unit
Quantum Number: 1 --> No Conversion Required
Atomic number: 17 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (n/Z)*0.529*10^-10 --> (1/17)*0.529*10^-10
Evaluating ... ...
r = 3.11176470588235E-12
STEP 3: Convert Result to Output's Unit
3.11176470588235E-12 Meter -->3.11176470588235E-10 Centimeter (Check conversion here)
FINAL ANSWER
3.11176470588235E-10 Centimeter <-- Radius
(Calculation completed in 00.000 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

### Bohr's Radius Formula

radius = (Quantum Number/Atomic number)*0.529*10^-10
r = (n/Z)*0.529*10^-10

## What is Bohr's theory?

A theory of atomic structure in which the hydrogen atom (Bohr atom ) is assumed to consist of a proton as nucleus, with a single electron moving in distinct circular orbits around it, each orbit corresponding to a specific quantized energy state: the theory was extended to other atoms.

## How to Calculate Bohr's Radius?

Bohr's Radius calculator uses radius = (Quantum Number/Atomic number)*0.529*10^-10 to calculate the Radius, The Bohr's Radius formula is defined as is a physical constant, expressing the most probable distance between the electron and the nucleus in a Hydrogen atom. Radius and is denoted by r symbol.

How to calculate Bohr's Radius using this online calculator? To use this online calculator for Bohr's Radius, enter Quantum Number (n) and Atomic number (Z) and hit the calculate button. Here is how the Bohr's Radius calculation can be explained with given input values -> 3.112E-10 = (1/17)*0.529*10^-10.

### FAQ

What is Bohr's Radius?
The Bohr's Radius formula is defined as is a physical constant, expressing the most probable distance between the electron and the nucleus in a Hydrogen atom and is represented as r = (n/Z)*0.529*10^-10 or radius = (Quantum Number/Atomic number)*0.529*10^-10. Quantum Number describe values of conserved quantities in the dynamics of a quantum system and Atomic number is the number of protons present inside the nucleus of an atom of an element.
How to calculate Bohr's Radius?
The Bohr's Radius formula is defined as is a physical constant, expressing the most probable distance between the electron and the nucleus in a Hydrogen atom is calculated using radius = (Quantum Number/Atomic number)*0.529*10^-10. To calculate Bohr's Radius, you need Quantum Number (n) and Atomic number (Z). With our tool, you need to enter the respective value for Quantum Number and Atomic number 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 Radius?
In this formula, Radius uses Quantum Number and Atomic number. 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 Bohr's Radius calculator used?
Among many, Bohr's Radius calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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