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 = ((nf^2)*(ni^2))/(1.097*10^7*((nf)^2-(ni)^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 = ((nf^2)*(ni^2))/(1.097*10^7*((nf)^2-(ni)^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 00.004 seconds)

Credits

Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
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Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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16 Electrons & Orbits Calculators

Change in Wave Number of Moving Particle
Go Wave Number of moving Particle = 1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2)/((Final Quantum Number^2)*(Initial Quantum Number^2))
Change in Wavelength of Moving Particle
Go Wave Number = ((Final Quantum Number^2)*(Initial Quantum Number^2))/(1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2))
Total Energy of Electron in nth Orbit
Go Total Energy of Atom given nth Orbital = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2)))
Velocity of Electron in Bohr's Orbit
Go Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])
Energy Gap between Two Orbits
Go Energy of Electron in Orbit = [Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
Velocity of Electron given Time Period of Electron
Go Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron
Total Energy of Electron given Atomic Number
Go Total Energy of Atom given AN = -(Atomic Number*([Charge-e]^2))/(2*Radius of Orbit)
Potential Energy of Electron given Atomic Number
Go Potential Energy in Ev = (-(Atomic Number*([Charge-e]^2))/Radius of Orbit)
Energy of Electron in Final Orbit
Go Energy of Electron in Orbit = (-([Rydberg]/(Final Quantum Number^2)))
Velocity of Electron in Orbit given Angular Velocity
Go Velocity of Electron given AV = Angular Velocity*Radius of Orbit
Energy of Electron in Initial Orbit
Go Energy of Electron in Orbit = (-([Rydberg]/(Initial Orbit^2)))
Total Energy of Electron
Go Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2
Atomic Mass
Go Atomic Mass = Total Mass of Proton+Total Mass of Neutron
Number of Electrons in nth Shell
Go Number of Electrons in nth Shell = (2*(Quantum Number^2))
Number of Orbitals in nth Shell
Go Number of Orbitals in nth Shell = (Quantum Number^2)
Orbital Frequency of Electron
Go Orbital Frequency = 1/Time Period of Electron

Change in Wavelength of Moving Particle Formula

Wave Number = ((Final Quantum Number^2)*(Initial Quantum Number^2))/(1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2))
k = ((nf^2)*(ni^2))/(1.097*10^7*((nf)^2-(ni)^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 (nf) & Initial Quantum Number (ni) 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 = ((nf^2)*(ni^2))/(1.097*10^7*((nf)^2-(ni)^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 (nf) & Initial Quantum Number (ni). 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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