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De Broglie Wavelength of Particle in Circular Orbit Calculator

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✖Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.ⓘ Radius of Orbit [r_orbit]			+10% -10%
✖Quantum Number describe values of conserved quantities in the dynamics of a quantum system.ⓘ Quantum Number [n_quantum]			+10% -10%

✖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.ⓘ De Broglie Wavelength of Particle in Circular Orbit [λ_CO]

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De Broglie Wavelength of Particle in Circular Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number
λ_CO = (2*pi*r_orbit)/n_quantum
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Wavelength given CO - (Measured in Meter) - 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.
Radius of Orbit - (Measured in Meter) - Radius of 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.

STEP 1: Convert Input(s) to Base Unit

Radius of Orbit: 100 Nanometer --> 1E-07 Meter (Check conversion here)
Quantum Number: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_CO = (2*pi*r_orbit)/n_quantum --> (2*pi*1E-07)/8

Evaluating ... ...

λ_CO = 7.85398163397448E-08

STEP 3: Convert Result to Output's Unit

7.85398163397448E-08 Meter -->78.5398163397448 Nanometer (Check conversion here)

FINAL ANSWER

78.5398163397448 ≈ 78.53982 Nanometer <-- Wavelength given CO

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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Indian Institute of Technology (IIT), Kanpur

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De Broglie Wavelength of Particle in Circular Orbit

LaTeX Go Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number

De Broglie Wavelength of Particle in Circular Orbit Formula

LaTeX Go

Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number
λ_CO = (2*pi*r_orbit)/n_quantum

What is de Broglie's hypothesis of matter waves?

Louis de Broglie proposed a new speculative hypothesis that electrons and other particles of matter can behave like waves. According to de Broglie’s hypothesis, massless photons, as well as massive particles, must satisfy one common set of relations that connect the energy E with the frequency f, and the linear momentum p with the de- Broglie wavelength.

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

De Broglie Wavelength of Particle in Circular Orbit calculator uses Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number to calculate 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 calculate De Broglie Wavelength of Particle in Circular Orbit using this online calculator? To use this online calculator for De Broglie Wavelength of Particle in Circular Orbit, enter Radius of Orbit (r_orbit) & Quantum Number (n_quantum) and hit the calculate button. Here is how the De Broglie Wavelength of Particle in Circular Orbit calculation can be explained with given input values -> 7.9E+10 = (2*pi*1E-07)/8.

FAQ

What is De Broglie Wavelength of Particle in Circular Orbit?

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 and is represented as λ_CO = (2*pi*r_orbit)/n_quantum or Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number. Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface & Quantum Number describe values of conserved quantities in the dynamics of a quantum system.

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

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 is calculated using Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number. To calculate De Broglie Wavelength of Particle in Circular Orbit, you need Radius of Orbit (r_orbit) & Quantum Number (n_quantum). With our tool, you need to enter the respective value for Radius of Orbit & Quantum Number 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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