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De Broglie Wavelength of Particle in Circular Orbit Formula

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Wavelength given CO is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire. Check FAQs

λ CO = \frac{2 \cdot π \cdot r orbit}{n quantum}

λ_CO - Wavelength given CO?r_orbit - Radius of Orbit?n_quantum - Quantum Number?π - Archimedes' constant?

De Broglie Wavelength of Particle in Circular Orbit Example

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Here is how the De Broglie Wavelength of Particle in Circular Orbit equation looks like with Values.

Here is how the De Broglie Wavelength of Particle in Circular Orbit equation looks like with Units.

Here is how the De Broglie Wavelength of Particle in Circular Orbit equation looks like.

78.5398 = \frac{2 \cdot 3.1416 \cdot 100}{8}

78.5398nm = \frac{2 \cdot 3.1416 \cdot 100nm}{8}

78.5398 = \frac{2 \cdot 3.1416 \cdot 100}{8}

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De Broglie Wavelength of Particle in Circular Orbit Solution

Follow our step by step solution on how to calculate De Broglie Wavelength of Particle in Circular Orbit?

FIRST Step Consider the formula

λ CO = \frac{2 \cdot π \cdot r orbit}{n quantum}

Next Step Substitute values of Variables

∴

λ CO = \frac{2 \cdot π \cdot 100nm}{8}

Next Step Substitute values of Constants

∴

λ CO = \frac{2 \cdot 3.1416 \cdot 100nm}{8}

Next Step Convert Units

∴

λ CO = \frac{2 \cdot 3.1416 \cdot 1E-7m}{8}

Next Step Prepare to Evaluate

∴

λ CO = \frac{2 \cdot 3.1416 \cdot 1E-7}{8}

Next Step Evaluate

∴

λ CO = 7.85398163397448E-08m

Next Step Convert to Output's Unit

∴

λ CO = 78.5398163397448nm

LAST Step Rounding Answer

∴

λ CO = 78.5398nm

De Broglie Wavelength of Particle in Circular Orbit Formula Elements

Variables

Constants

Wavelength given CO

Wavelength given CO is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

Symbol: λ_CO

Measurement: WavelengthUnit: nm

Note: Value can be positive or negative.

Formulas to find Wavelength given CO

Radius of Orbit

Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.

Symbol: r_orbit

Measurement: LengthUnit: nm

Note: Value can be positive or negative.

Formulas to find Radius of Orbit

Quantum Number

Quantum Number describe values of conserved quantities in the dynamics of a quantum system.

Symbol: n_quantum

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Quantum Number

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in De Broglie Hypothesis category

Go Number of Revolutions of Electron

n sec = \frac{v e}{2 \cdot π \cdot r orbit}

Go Relation between de Broglie Wavelength and Kinetic Energy of Particle

λ = \frac{[hP]}{\sqrt{2 \cdot KE \cdot m}}

Go De Broglie Wavelength of Charged Particle given Potential

λ P = \frac{[hP]}{2 \cdot [Charge-e] \cdot V \cdot m}

Go De Broglie Wavelength for Electron given Potential

λ PE = \frac{12.27}{\sqrt{V}}

How to Evaluate De Broglie Wavelength of Particle in Circular Orbit?

De Broglie Wavelength of Particle in Circular Orbit evaluator uses Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number to evaluate the Wavelength given CO, The De Broglie wavelength of particle in circular orbit is associated with a particle/electron revolving around the nucleus in the circular path and is related to its radius, r. Wavelength given CO is denoted by λ_CO symbol.

How to evaluate De Broglie Wavelength of Particle in Circular Orbit using this online evaluator? To use this online evaluator for De Broglie Wavelength of Particle in Circular Orbit, enter Radius of Orbit (r_orbit) & Quantum Number (n_quantum) and hit the calculate button.

FAQs on De Broglie Wavelength of Particle in Circular Orbit

What is the formula to find De Broglie Wavelength of Particle in Circular Orbit?

The formula of De Broglie Wavelength of Particle in Circular Orbit is expressed as Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number. Here is an example- 7.9E+10 = (2*pi*1E-07)/8.

How to calculate De Broglie Wavelength of Particle in Circular Orbit?

With Radius of Orbit (r_orbit) & Quantum Number (n_quantum) we can find De Broglie Wavelength of Particle in Circular Orbit using the formula - Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number. This formula also uses Archimedes' constant .

Can the De Broglie Wavelength of Particle in Circular Orbit be negative?

Yes, the De Broglie Wavelength of Particle in Circular Orbit, measured in Wavelength can be negative.

Which unit is used to measure De Broglie Wavelength of Particle in Circular Orbit?

De Broglie Wavelength of Particle in Circular Orbit is usually measured using the Nanometer[nm] for Wavelength. Meter[nm], Megameter[nm], Kilometer[nm] are the few other units in which De Broglie Wavelength of Particle in Circular Orbit can be measured.

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De Broglie Wavelength of Particle in Circular Orbit Formula

De Broglie Wavelength of Particle in Circular Orbit Example

De Broglie Wavelength of Particle in Circular Orbit Solution

De Broglie Wavelength of Particle in Circular Orbit Formula Elements

Other formulas in De Broglie Hypothesis category

How to Evaluate De Broglie Wavelength of Particle in Circular Orbit?

FAQs on De Broglie Wavelength of Particle in Circular Orbit

Variable Name