Wavelength Using Energy Calculator

Main Category	Chemistry ↺
Chemistry	Atomic structure ↺
Atomic structure	Bohr's atomic model ↺

✖Plancks Constant is the quantum of electromagnetic action that relates a photon's energy to its frequency.ⓘ Plancks Constant [h]			+10% -10%
✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [m]			+10% -10%
✖Energy In Electron Volts is the energy consumed by the body when measured in electron volts.ⓘ Energy In Electron Volts [E]			+10% -10%

✖Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wireⓘ Wavelength Using Energy [λ]

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Credits

Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 200+ more calculators!

Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1000+ more calculators!

Wavelength Using Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

wavelength = Plancks Constant/sqrt(2*Mass*Energy In Electron Volts)
λ = h/sqrt(2*m*E)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

Plancks Constant- Plancks Constant is the quantum of electromagnetic action that relates a photon's energy to its frequency.
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

Plancks Constant: 1 --> No Conversion Required
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Energy In Electron Volts: 1 Electron-Volt --> 1.60217733000001E-19 Joule (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = h/sqrt(2*m*E) --> 1/sqrt(2*35.45*1.60217733000001E-19)

Evaluating ... ...

λ = 296702763.391015

STEP 3: Convert Result to Output's Unit

296702763.391015 Meter --> No Conversion Required

FINAL ANSWER

296702763.391015 Meter <-- Wavelength

(Calculation completed in 00.010 seconds)

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< 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

Ionization potential

ionization_potential = ([Rydberg]*(Atomic number^2))/(Quantum Number^2) Go

Time period of revolution of electron

time_period_of_electron = (2*pi*Radius of orbit)/Velocity of electron Go

Radius of orbit when kinetic energy of electron is given

radius_of_orbit = (Atomic number*([Charge-e]^2))/(2*Kinetic Energy) Go

Velocity of electron in orbit when angular velocity is given

velocity_of_electron = Angular Velocity*Radius of orbit Go

Radius of orbit when angular velocity is given

radius_of_orbit = Velocity of electron/Angular Velocity Go

Angular velocity of electron

angular_velocity = Velocity of electron/Radius of orbit Go

Wave number when frequency of photon is given

wave_number_of_particle = Frequency of photon/[c] Go

Wavelength Using Energy Formula

wavelength = Plancks Constant/sqrt(2*Mass*Energy In Electron Volts)
λ = h/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 = Plancks Constant/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 and 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 Plancks Constant (h), Mass (m) and 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 -> 2.967E+8 = 1/sqrt(2*35.45*1.60217733000001E-19).

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 = h/sqrt(2*m*E) or wavelength = Plancks Constant/sqrt(2*Mass*Energy In Electron Volts). Plancks Constant is the quantum of electromagnetic action that relates a photon's energy to its frequency, Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it and 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 = Plancks Constant/sqrt(2*Mass*Energy In Electron Volts). To calculate Wavelength Using Energy, you need Plancks Constant (h), Mass (m) and Energy In Electron Volts (E). With our tool, you need to enter the respective value for Plancks Constant, Mass and 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 Plancks Constant, Mass and Energy In Electron Volts. We can use 10 other way(s) to calculate the same, which is/are as follows -

radius_of_orbit = (Atomic number*([Charge-e]^2))/(2*Kinetic Energy)
velocity_of_electron = Angular Velocity*Radius of orbit
radius_of_orbit = Velocity of electron/Angular Velocity
radius_of_orbit = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic number*([Charge-e]^2))
radius_of_orbit = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2))
energy = (-([Mass-e]*([Charge-e]^4)*(Atomic number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2)))
angular_velocity = Velocity of electron/Radius of orbit
wave_number_of_particle = Frequency of photon/[c]
ionization_potential = ([Rydberg]*(Atomic number^2))/(Quantum Number^2)
time_period_of_electron = (2*pi*Radius of orbit)/Velocity of electron

Where is the Wavelength Using Energy calculator used?

Among many, Wavelength Using Energy calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}

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