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
λCO = (2*pi*rorbit)/nquantum
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
λCO = (2*pi*rorbit)/nquantum --> (2*pi*1E-07)/8
Evaluating ... ...
λCO = 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)

Credits

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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16 De Broglie Hypothesis Calculators

De Broglie Wavelength given Total Energy
Go Wavelength given TE = [hP]/(sqrt(2*Mass in Dalton*(Total Energy Radiated-Potential Energy)))
De Broglie Wavelength of Charged Particle given Potential
Go Wavelength given P = [hP]/(2*[Charge-e]*Electric Potential Difference*Mass of Moving Electron)
Wavelength of Thermal Neutron
Go Wavelength DB = [hP]/sqrt(2*[Mass-n]*[BoltZ]*Temperature)
Relation between de Broglie Wavelength and Kinetic Energy of Particle
Go Wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of Moving Electron)
Potential given de Broglie Wavelength
Go Electric Potential Difference = ([hP]^2)/(2*[Charge-e]*Mass of Moving Electron*(Wavelength^2))
Number of Revolutions of Electron
Go Revolutions per Sec = Velocity of Electron/(2*pi*Radius of Orbit)
De Broglie Wavelength of Particle in Circular Orbit
Go Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number
De Broglie's Wavelength given Velocity of Particle
Go Wavelength DB = [hP]/(Mass in Dalton*Velocity)
De Brogile Wavelength
Go Wavelength DB = [hP]/(Mass in Dalton*Velocity)
Energy of Particle given de Broglie Wavelength
Go Energy given DB = ([hP]*[c])/Wavelength
Kinetic Energy given de Broglie Wavelength
Go Energy of AO = ([hP]^2)/(2*Mass of Moving Electron*(Wavelength^2))
Mass of Particle given de Broglie Wavelength and Kinetic Energy
Go Mass of Moving E = ([hP]^2)/(((Wavelength)^2)*2*Kinetic Energy)
De Broglie Wavelength for Electron given Potential
Go Wavelength given PE = 12.27/sqrt(Electric Potential Difference)
Energy of Particle
Go Energy of AO = [hP]*Frequency
Potential given de Broglie Wavelength of Electron
Go Electric Potential Difference = (12.27^2)/(Wavelength^2)
Einstein's Mass Energy Relation
Go Energy given DB = Mass in Dalton*([c]^2)

De Broglie Wavelength of Particle in Circular Orbit Formula

Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number
λCO = (2*pi*rorbit)/nquantum

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 λCO 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 (rorbit) & Quantum Number (nquantum) 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 λCO = (2*pi*rorbit)/nquantum 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 (rorbit) & Quantum Number (nquantum). 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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