LCM of three numbers

Radius of Nth Orbit of Electron Calculator

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Electrons and Holes Energy Band and Charge Carrier Semiconductor Carriers SSD Junction

✖Quantum Number is a numerical value that describes a particular aspect of the quantum state of a physical system.ⓘ Quantum Number [n]			+10% -10%
✖Mass of Particle is defined as the total mass of the considered particle.ⓘ Mass of Particle [M]			+10% -10%

✖Radius of nth Orbit of electron is defined as the radius of the nth or last orbit present in the shell.ⓘ Radius of Nth Orbit of Electron [r_n]

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Radius of Nth Orbit of Electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2)
r_n = ([Coulomb]*n^2*[hP]^2)/(M*[Charge-e]^2)
This formula uses 3 Constants, 3 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[Coulomb] - Coulomb constant Value Taken As 8.9875E+9
[hP] - Planck constant Value Taken As 6.626070040E-34

Variables Used

Radius of nth Orbit of Electron - (Measured in Meter) - Radius of nth Orbit of electron is defined as the radius of the nth or last orbit present in the shell.
Quantum Number - Quantum Number is a numerical value that describes a particular aspect of the quantum state of a physical system.
Mass of Particle - (Measured in Kilogram) - Mass of Particle is defined as the total mass of the considered particle.

STEP 1: Convert Input(s) to Base Unit

Quantum Number: 2 --> No Conversion Required
Mass of Particle: 1.34E-05 Kilogram --> 1.34E-05 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_n = ([Coulomb]*n^2*[hP]^2)/(M*[Charge-e]^2) --> ([Coulomb]*2^2*[hP]^2)/(1.34E-05*[Charge-e]^2)

Evaluating ... ...

r_n = 4.58868096352768E-14

STEP 3: Convert Result to Output's Unit

4.58868096352768E-14 Meter -->4.58868096352768E-08 Micrometer (Check conversion here)

FINAL ANSWER

4.58868096352768E-08 ≈ 4.6E-8 Micrometer <-- Radius of nth Orbit of Electron

(Calculation completed in 00.004 seconds)

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Radius of Nth Orbit of Electron Formula

LaTeX Go

Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2)
r_n = ([Coulomb]*n^2*[hP]^2)/(M*[Charge-e]^2)

How do you find the radius of the orbit of an electron?

Use the formula 𝑟_𝑛 = 𝑎₀ 𝑛², where 𝑟_𝑛 is the orbital radius of an electron in energy level 𝑛 of a hydrogen atom and 𝑎₀ is the Bohr radius, to calculate the orbital radius of an electron that is in energy level 𝑛 = 3 of a hydrogen atom. Use a value of 5.29 × 10⁻¹¹ m for the Bohr radius.

How to Calculate Radius of Nth Orbit of Electron?

Radius of Nth Orbit of Electron calculator uses Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2) to calculate the Radius of nth Orbit of Electron, The Radius of nth Orbit of electron formula is defined as the radius of the nth or last orbit present in the shell. Radius of nth Orbit of Electron is denoted by r_n symbol.

How to calculate Radius of Nth Orbit of Electron using this online calculator? To use this online calculator for Radius of Nth Orbit of Electron, enter Quantum Number (n) & Mass of Particle (M) and hit the calculate button. Here is how the Radius of Nth Orbit of Electron calculation can be explained with given input values -> 0.045887 = ([Coulomb]*2^2*[hP]^2)/(1.34E-05*[Charge-e]^2).

FAQ

What is Radius of Nth Orbit of Electron?

The Radius of nth Orbit of electron formula is defined as the radius of the nth or last orbit present in the shell and is represented as r_n = ([Coulomb]*n^2*[hP]^2)/(M*[Charge-e]^2) or Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2). Quantum Number is a numerical value that describes a particular aspect of the quantum state of a physical system & Mass of Particle is defined as the total mass of the considered particle.

How to calculate Radius of Nth Orbit of Electron?

The Radius of nth Orbit of electron formula is defined as the radius of the nth or last orbit present in the shell is calculated using Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2). To calculate Radius of Nth Orbit of Electron, you need Quantum Number (n) & Mass of Particle (M). With our tool, you need to enter the respective value for Quantum Number & Mass of Particle 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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