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Wavelength Using Energy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wavelength = [hP]/sqrt(2*Mass*Energy in Electron Volts)
λ = [hP]/sqrt(2*M*E)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
[hP] - Planck constant Value Taken As 6.626070040E-34 Kilogram Meter² / Second
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Mass - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it. (Measured in Kilogram)
Energy in Electron Volts - Energy in Electron Volts is the energy consumed by the body when measured in electron volts. (Measured in Electron-Volt)
STEP 1: Convert Input(s) to Base Unit
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Energy in Electron Volts: 45 Electron-Volt --> 7.20979798500003E-18 Joule (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λ = [hP]/sqrt(2*M*E) --> [hP]/sqrt(2*35.45*7.20979798500003E-18)
Evaluating ... ...
λ = 2.93069994751624E-26
STEP 3: Convert Result to Output's Unit
2.93069994751624E-26 Meter -->2.93069994751624E-17 Nanometer (Check conversion here)
FINAL ANSWER
2.93069994751624E-17 Nanometer <-- Wavelength
(Calculation completed in 00.015 seconds)

10+ Bohr's atomic model Calculators

Radius of Bohr's orbit
Radius of Orbit = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic Number*([Charge-e]^2)) Go
Total energy of electron in nth orbit
Energy = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2))) Go
Radius of Bohr's orbit for the Hydrogen atom
Radius of Orbit = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2)) Go
Velocity of electron in Bohr's orbit
Velocity of Electron = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP]) Go
Ionization potential
Ionization potential = ([Rydberg]*(Atomic Number^2))/(Quantum Number^2) Go
Velocity of Electron given Time Period of Electron
Velocity of Electron = (2*pi*Radius of Orbit)/Time Period of Electron Go
Radius of Bohr's orbit given atomic number
Radius of Orbit = ((0.529/10000000000)*(Quantum Number^2))/Atomic Number Go
Velocity of electron in orbit given angular velocity
Velocity of Electron = Angular Velocity*Radius of Orbit Go
Radius of orbit given angular velocity
Radius of Orbit = Velocity of Electron/Angular Velocity Go
Wave number given frequency of photon
Wave number of particle = Frequency of Photon/[c] Go

Wavelength Using Energy Formula

Wavelength = [hP]/sqrt(2*Mass*Energy in Electron Volts)
λ = [hP]/sqrt(2*M*E)

What is Bohr's theory?

Bohr's theory is a theory for the hydrogen atom based on quantum theory that energy is transferred only in certain well defined quantities.

How to Calculate Wavelength Using Energy?

Wavelength Using Energy calculator uses Wavelength = [hP]/sqrt(2*Mass*Energy in Electron Volts) to calculate the Wavelength, The Wavelength Using Energy formula is defined as the distance covered by the wave in one oscillation.Si Unit of wavelength is meter. Wavelength is denoted by λ symbol.

How to calculate Wavelength Using Energy using this online calculator? To use this online calculator for Wavelength Using Energy, enter Mass (M) & Energy in Electron Volts (E) and hit the calculate button. Here is how the Wavelength Using Energy calculation can be explained with given input values -> 2.931E-17 = [hP]/sqrt(2*35.45*7.20979798500003E-18).

FAQ

What is Wavelength Using Energy?
The Wavelength Using Energy formula is defined as the distance covered by the wave in one oscillation.Si Unit of wavelength is meter and is represented as λ = [hP]/sqrt(2*M*E) or Wavelength = [hP]/sqrt(2*Mass*Energy in Electron Volts). Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it & Energy in Electron Volts is the energy consumed by the body when measured in electron volts.
How to calculate Wavelength Using Energy?
The Wavelength Using Energy formula is defined as the distance covered by the wave in one oscillation.Si Unit of wavelength is meter is calculated using Wavelength = [hP]/sqrt(2*Mass*Energy in Electron Volts). To calculate Wavelength Using Energy, you need Mass (M) & Energy in Electron Volts (E). With our tool, you need to enter the respective value for Mass & Energy in Electron Volts and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Wavelength?
In this formula, Wavelength uses Mass & Energy in Electron Volts. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Wavelength = ([hP]*[c])/Energy
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