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Change in Wavelength of Moving Particle Calculator

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Electrons and Orbits Hydrogen Spectrum Radius of Bohr's Orbit

✖Final Quantum Number is set of numbers used to describe the final position and energy of the electron in an atom.ⓘ Final Quantum Number [n_f]			+10% -10%
✖Initial Quantum Number is a set of numbers used to describe the position and energy of the electron in an atom.ⓘ Initial Quantum Number [n_i]			+10% -10%

✖Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.ⓘ Change in Wavelength of Moving Particle [k]

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Change in Wavelength of Moving Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Number = ((Final Quantum Number^2)*(Initial Quantum Number^2))/(1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2))
k = ((n_f^2)*(n_i^2))/(1.097*10^7*((n_f)^2-(n_i)^2))
This formula uses 3 Variables

Variables Used

Wave Number - Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.
Final Quantum Number - Final Quantum Number is set of numbers used to describe the final position and energy of the electron in an atom.
Initial Quantum Number - Initial Quantum Number is a set of numbers used to describe the position and energy of the electron in an atom.

STEP 1: Convert Input(s) to Base Unit

Final Quantum Number: 9 --> No Conversion Required
Initial Quantum Number: 7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = ((n_f^2)*(n_i^2))/(1.097*10^7*((n_f)^2-(n_i)^2)) --> ((9^2)*(7^2))/(1.097*10^7*((9)^2-(7)^2))

Evaluating ... ...

k = 1.13064038286235E-05

STEP 3: Convert Result to Output's Unit

1.13064038286235E-05 --> No Conversion Required

FINAL ANSWER

1.13064038286235E-05 ≈ 1.1E-5 <-- Wave Number

(Calculation completed in 00.020 seconds)

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National Institute of Technology (NIT), Jamshedpur

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< Electrons and Orbits Calculators

Velocity of Electron in Bohr's Orbit

LaTeX Go Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])

Potential Energy of Electron given Atomic Number

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Total Energy of Electron

LaTeX Go Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2

Orbital Frequency of Electron

LaTeX Go Orbital Frequency = 1/Time Period of Electron

Change in Wavelength of Moving Particle Formula

LaTeX Go

Wave Number = ((Final Quantum Number^2)*(Initial Quantum Number^2))/(1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2))
k = ((n_f^2)*(n_i^2))/(1.097*10^7*((n_f)^2-(n_i)^2))

What is Bohr's theory?

Bohr's Theory is a theory of atomic structure in which the hydrogen atom (Bohr atom ) is assumed to consist of a proton as nucleus, with a single electron moving in distinct circular orbits around it, each orbit corresponding to a specific quantized energy state: the theory was extended to other atoms.

How to Calculate Change in Wavelength of Moving Particle?

Change in Wavelength of Moving Particle calculator uses Wave Number = ((Final Quantum Number^2)*(Initial Quantum Number^2))/(1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2)) to calculate the Wave Number, The Change in Wavelength of Moving Particle formula is defined as the distance covered by the particle in one second. Wave Number is denoted by k symbol.

How to calculate Change in Wavelength of Moving Particle using this online calculator? To use this online calculator for Change in Wavelength of Moving Particle, enter Final Quantum Number (n_f) & Initial Quantum Number (n_i) and hit the calculate button. Here is how the Change in Wavelength of Moving Particle calculation can be explained with given input values -> 1.1E-5 = ((9^2)*(7^2))/(1.097*10^7*((9)^2-(7)^2)).

FAQ

What is Change in Wavelength of Moving Particle?

The Change in Wavelength of Moving Particle formula is defined as the distance covered by the particle in one second and is represented as k = ((n_f^2)*(n_i^2))/(1.097*10^7*((n_f)^2-(n_i)^2)) or Wave Number = ((Final Quantum Number^2)*(Initial Quantum Number^2))/(1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2)). Final Quantum Number is set of numbers used to describe the final position and energy of the electron in an atom & Initial Quantum Number is a set of numbers used to describe the position and energy of the electron in an atom.

How to calculate Change in Wavelength of Moving Particle?

The Change in Wavelength of Moving Particle formula is defined as the distance covered by the particle in one second is calculated using Wave Number = ((Final Quantum Number^2)*(Initial Quantum Number^2))/(1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2)). To calculate Change in Wavelength of Moving Particle, you need Final Quantum Number (n_f) & Initial Quantum Number (n_i). With our tool, you need to enter the respective value for Final Quantum Number & Initial 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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