Change in Wave Number of Moving Particle Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Nwave = 1.097*10^7*((nf)^2-(ni)^2)/((nf^2)*(ni^2))
This formula uses 3 Variables
Variables Used
Wave Number of moving Particle - Wave Number of moving Particle 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
Nwave = 1.097*10^7*((nf)^2-(ni)^2)/((nf^2)*(ni^2)) --> 1.097*10^7*((9)^2-(7)^2)/((9^2)*(7^2))
Evaluating ... ...
Nwave = 88445.4522549761
STEP 3: Convert Result to Output's Unit
88445.4522549761 --> No Conversion Required
FINAL ANSWER
88445.4522549761 โ‰ˆ 88445.45 <-- Wave Number of moving Particle
(Calculation completed in 00.004 seconds)

Credits

Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
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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

12 Important Formulas on Bohr's Atomic Model 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))
Radius of Bohr's Orbit
Go Radius of Orbit given AN = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic Number*([Charge-e]^2))
Internal Energy of Ideal Gas using Law of Equipartition Energy
Go Internal Molar Energy given EP = (Degree of Freedom/2)*Number of Moles*[R]*Temperature of Gas
Velocity of Electron given Time Period of Electron
Go Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron
Angular Momentum using Radius of Orbit
Go Angular Momentum using Radius Orbit = Atomic Mass*Velocity*Radius of Orbit
Radius of Bohr's Orbit given Atomic Number
Go Radius of Orbit given AN = ((0.529/10000000000)*(Quantum Number^2))/Atomic Number
Energy of Electron in Final Orbit
Go Energy of Electron in Orbit = (-([Rydberg]/(Final Quantum Number^2)))
Energy of Electron in Initial Orbit
Go Energy of Electron in Orbit = (-([Rydberg]/(Initial Orbit^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 Wave Number of Moving Particle Formula

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))
Nwave = 1.097*10^7*((nf)^2-(ni)^2)/((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 Wave Number of Moving Particle?

Change in Wave Number of Moving Particle calculator uses 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)) to calculate the Wave Number of moving Particle, The Change in Wave Number of Moving Particle formula is defined as is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance. Wave Number of moving Particle is denoted by Nwave symbol.

How to calculate Change in Wave Number of Moving Particle using this online calculator? To use this online calculator for Change in Wave Number of Moving Particle, enter Final Quantum Number (nf) & Initial Quantum Number (ni) and hit the calculate button. Here is how the Change in Wave Number of Moving Particle calculation can be explained with given input values -> 88445.45 = 1.097*10^7*((9)^2-(7)^2)/((9^2)*(7^2)).

FAQ

What is Change in Wave Number of Moving Particle?
The Change in Wave Number of Moving Particle formula is defined as is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance and is represented as Nwave = 1.097*10^7*((nf)^2-(ni)^2)/((nf^2)*(ni^2)) or 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)). 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 Wave Number of Moving Particle?
The Change in Wave Number of Moving Particle formula is defined as is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance is calculated using 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)). To calculate Change in Wave Number 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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