Credits

National Institute of Technology (NIT), Jamshedpur
Anirudh Singh has created this Calculator and 200+ more calculators!
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1000+ more calculators!

Radius of the Orbit Solution

STEP 0: Pre-Calculation Summary
Formula Used
radius = (Quantum Number*Plancks Constant)/(2*pi*Mass*Velocity)
r = (n*h)/(2*pi*m*v)
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)
Velocity - Velocity, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object). (Measured in Meter per Second)
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
Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (n*h)/(2*pi*m*v) --> (1*1)/(2*pi*35.45*60)
Evaluating ... ...
r = 7.48260193191798E-05
STEP 3: Convert Result to Output's Unit
7.48260193191798E-05 Meter -->0.00748260193191798 Centimeter (Check conversion here)
FINAL ANSWER
0.00748260193191798 Centimeter <-- Radius
(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

Radius of the Orbit Formula

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

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 Radius of the Orbit?

Radius of the Orbit calculator uses radius = (Quantum Number*Plancks Constant)/(2*pi*Mass*Velocity) to calculate the Radius, The Radius Of The Orbit formula is defined as the radius of the fixed orbit as the electron revolves around the nucleus of the atom. Radius and is denoted by r symbol.

How to calculate Radius of the Orbit using this online calculator? To use this online calculator for Radius of the Orbit, enter Quantum Number (n), Plancks Constant (h), Mass (m) and Velocity (v) and hit the calculate button. Here is how the Radius of the Orbit calculation can be explained with given input values -> 0.007483 = (1*1)/(2*pi*35.45*60).

FAQ

What is Radius of the Orbit?
The Radius Of The Orbit formula is defined as the radius of the fixed orbit as the electron revolves around the nucleus of the atom and is represented as r = (n*h)/(2*pi*m*v) or radius = (Quantum Number*Plancks Constant)/(2*pi*Mass*Velocity). 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 Velocity, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object).
How to calculate Radius of the Orbit?
The Radius Of The Orbit formula is defined as the radius of the fixed orbit as the electron revolves around the nucleus of the atom is calculated using radius = (Quantum Number*Plancks Constant)/(2*pi*Mass*Velocity). To calculate Radius of the Orbit, you need Quantum Number (n), Plancks Constant (h), Mass (m) and Velocity (v). With our tool, you need to enter the respective value for Quantum Number, Plancks Constant, Mass and Velocity 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, Plancks Constant, Mass and Velocity. 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 Radius of the Orbit calculator used?
Among many, Radius of the Orbit calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!