Radius of Orbit Calculator

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Bohr's Atomic Model

Compton Effect

De Broglie Hypothesis

Distance of Closest Approach

Heisenberg's Uncertainty Principle

Important Formulas on Bohr's Atomic Model

Photo Electric Effect

Planck Quantum Theory

Rutherford Scattering

Schrodinger Wave Equation

Sommerfeld Model

Structure of Atom

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Radius of Bohr's Orbit

Electrons & Orbits

Hydrogen Spectrum

✖Quantum Number describe values of conserved quantities in the dynamics of a quantum system.ⓘ Quantum Number [n_quantum]			+10% -10%
✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [Mass_{flight path}]			+10% -10%
✖Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Velocity [v]			+10% -10%

✖Radius of an Orbit is the distance from the center of orbit of an electron to a point on its surface.ⓘ Radius of Orbit [r_o]

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Formula

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Radius of Orbit

Formula

`"r"_{"o"} = ("n"_{"quantum"}*"[hP]")/(2*pi*"Mass"_{"flight path"}*"v")`

Example

`"4E^-28nm"=("8"*"[hP]")/(2*pi*"35.45kg"*"60m/s")`

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Radius of Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of an Orbit = (Quantum Number*[hP])/(2*pi*Mass*Velocity)
r_o = (n_quantum*[hP])/(2*pi*Mass_{flight path}*v)
This formula uses 2 Constants, 4 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radius of an Orbit - (Measured in Meter) - Radius of an Orbit is the distance from the center of orbit of an electron to a point on its surface.
Quantum Number - Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

STEP 1: Convert Input(s) to Base Unit

Quantum Number: 8 --> 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_o = (n_quantum*[hP])/(2*pi*Mass_{flight path}*v) --> (8*[hP])/(2*pi*35.45*60)

Evaluating ... ...

r_o = 3.96641955858623E-37

STEP 3: Convert Result to Output's Unit

3.96641955858623E-37 Meter -->3.96641955858623E-28 Nanometer (Check conversion here)

FINAL ANSWER

3.96641955858623E-28 ≈ 4E-28 Nanometer <-- Radius of an Orbit

(Calculation completed in 00.020 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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< 8 Radius of Bohr's Orbit Calculators

Radius of Bohr's Orbit

Go Radius of Orbit given AN = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic Number*([Charge-e]^2))

Radius of Orbit

Go Radius of an Orbit = (Quantum Number*[hP])/(2*pi*Mass*Velocity)

Radius of Bohr's Orbit for Hydrogen Atom

Go Radius of Orbit given AV = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2))

Angular Momentum using Radius of Orbit

Go Angular Momentum using Radius Orbit = Atomic Mass*Velocity*Radius of Orbit

Radius of Bohr's Orbit given Atomic Number

Go Radius of Orbit given AN = ((0.529/10000000000)*(Quantum Number^2))/Atomic Number

Bohr's Radius

Go Bohr Radius of an Atom = (Quantum Number/Atomic Number)*0.529*10^(-10)

Radius of Orbit given Angular Velocity

Go Radius of Orbit given AV = Velocity of Electron/Angular Velocity

Frequency using Energy

Go Frequency using Energy = 2*Energy of Atom/[hP]

Radius of Orbit Formula

Radius of an Orbit = (Quantum Number*[hP])/(2*pi*Mass*Velocity)
r_o = (n_quantum*[hP])/(2*pi*Mass_{flight path}*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 Orbit?

Radius of Orbit calculator uses Radius of an Orbit = (Quantum Number*[hP])/(2*pi*Mass*Velocity) to calculate the Radius of an Orbit, The Radius of Orbit formula is defined as the radius of the fixed orbit as the electron revolves around the nucleus of the atom. Radius of an Orbit is denoted by r_o symbol.

How to calculate Radius of Orbit using this online calculator? To use this online calculator for Radius of Orbit, enter Quantum Number (n_quantum), Mass (Mass_{flight path}) & Velocity (v) and hit the calculate button. Here is how the Radius of Orbit calculation can be explained with given input values -> 4E-19 = (8*[hP])/(2*pi*35.45*60).

FAQ

What is Radius of Orbit?

The Radius of 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_o = (n_quantum*[hP])/(2*pi*Mass_{flight path}*v) or Radius of an Orbit = (Quantum Number*[hP])/(2*pi*Mass*Velocity). Quantum Number describe values of conserved quantities in the dynamics of a quantum system, Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it & Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

How to calculate Radius of Orbit?

The Radius of 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 of an Orbit = (Quantum Number*[hP])/(2*pi*Mass*Velocity). To calculate Radius of Orbit, you need Quantum Number (n_quantum), Mass (Mass_{flight path}) & Velocity (v). With our tool, you need to enter the respective value for Quantum Number, Mass & Velocity 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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