De Broglie Wavelength given Total Energy Calculator

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De Broglie Hypothesis

Bohr's Atomic Model

Compton Effect

Distance of Closest Approach

Heisenberg's Uncertainty Principle

Important Formulas on Bohr's Atomic Model

Photo Electric Effect

Planck Quantum Theory

Rutherford Scattering

Schrodinger Wave Equation

Sommerfeld Model

Structure of Atom

✖Mass in Dalton is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass in Dalton [M]			+10% -10%
✖Total Energy Radiated is radiated energy by a black body over all wavelengths.ⓘ Total Energy Radiated [E_radiated]			+10% -10%
✖Potential Energy is the energy that is stored in an object due to its position relative to some zero position.ⓘ Potential Energy [PE]			+10% -10%

✖Wavelength given TE is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.ⓘ De Broglie Wavelength given Total Energy [λ_TE]

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Formula

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De Broglie Wavelength given Total Energy

Formula

`"λ"_{"TE"} = "[hP]"/(sqrt(2*"M"*("E"_{"radiated"}-"PE")))`

Example

`"2.8E^-13nm"="[hP]"/(sqrt(2*"35Dalton"*("52W/m²"-"4J")))`

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De Broglie Wavelength given Total Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength given TE = [hP]/(sqrt(2*Mass in Dalton*(Total Energy Radiated-Potential Energy)))
λ_TE = [hP]/(sqrt(2*M*(E_radiated-PE)))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Wavelength given TE - (Measured in Meter) - Wavelength given TE is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
Mass in Dalton - (Measured in Kilogram) - Mass in Dalton is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Total Energy Radiated - (Measured in Watt per Square Meter) - Total Energy Radiated is radiated energy by a black body over all wavelengths.
Potential Energy - (Measured in Joule) - Potential Energy is the energy that is stored in an object due to its position relative to some zero position.

STEP 1: Convert Input(s) to Base Unit

Mass in Dalton: 35 Dalton --> 5.81185500034244E-26 Kilogram (Check conversion here)
Total Energy Radiated: 52 Watt per Square Meter --> 52 Watt per Square Meter No Conversion Required
Potential Energy: 4 Joule --> 4 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_TE = [hP]/(sqrt(2*M*(E_radiated-PE))) --> [hP]/(sqrt(2*5.81185500034244E-26*(52-4)))

Evaluating ... ...

λ_TE = 2.80519476927392E-22

STEP 3: Convert Result to Output's Unit

2.80519476927392E-22 Meter -->2.80519476927392E-13 Nanometer (Check conversion here)

FINAL ANSWER

2.80519476927392E-13 ≈ 2.8E-13 Nanometer <-- Wavelength given TE

(Calculation completed in 00.020 seconds)

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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India

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< 16 De Broglie Hypothesis Calculators

De Broglie Wavelength given Total Energy

Go Wavelength given TE = [hP]/(sqrt(2*Mass in Dalton*(Total Energy Radiated-Potential Energy)))

De Broglie Wavelength of Charged Particle given Potential

Go Wavelength given P = [hP]/(2*[Charge-e]*Electric Potential Difference*Mass of Moving Electron)

Wavelength of Thermal Neutron

Go Wavelength DB = [hP]/sqrt(2*[Mass-n]*[BoltZ]*Temperature)

Relation between de Broglie Wavelength and Kinetic Energy of Particle

Go Wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of Moving Electron)

Potential given de Broglie Wavelength

Go Electric Potential Difference = ([hP]^2)/(2*[Charge-e]*Mass of Moving Electron*(Wavelength^2))

Number of Revolutions of Electron

Go Revolutions per Sec = Velocity of Electron/(2*pi*Radius of Orbit)

De Broglie Wavelength of Particle in Circular Orbit

Go Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number

De Broglie's Wavelength given Velocity of Particle

Go Wavelength DB = [hP]/(Mass in Dalton*Velocity)

De Brogile Wavelength

Go Wavelength DB = [hP]/(Mass in Dalton*Velocity)

Energy of Particle given de Broglie Wavelength

Go Energy given DB = ([hP]*[c])/Wavelength

Kinetic Energy given de Broglie Wavelength

Go Energy of AO = ([hP]^2)/(2*Mass of Moving Electron*(Wavelength^2))

Mass of Particle given de Broglie Wavelength and Kinetic Energy

Go Mass of Moving E = ([hP]^2)/(((Wavelength)^2)*2*Kinetic Energy)

De Broglie Wavelength for Electron given Potential

Go Wavelength given PE = 12.27/sqrt(Electric Potential Difference)

Energy of Particle

Go Energy of AO = [hP]*Frequency

Potential given de Broglie Wavelength of Electron

Go Electric Potential Difference = (12.27^2)/(Wavelength^2)

Einstein's Mass Energy Relation

Go Energy given DB = Mass in Dalton*([c]^2)

De Broglie Wavelength given Total Energy Formula

Wavelength given TE = [hP]/(sqrt(2*Mass in Dalton*(Total Energy Radiated-Potential Energy)))
λ_TE = [hP]/(sqrt(2*M*(E_radiated-PE)))

What is Black-Body Radiation?

Black-body radiation is the thermal electromagnetic radiation within or surrounding a body in thermodynamic equilibrium with its environment, emitted by a black body (an idealized opaque, non-reflective body). It has a specific spectrum of wavelengths, inversely related to the intensity that depends only on the body's temperature, which is assumed for the sake of calculations and theory to be uniform and constant.

How to Calculate De Broglie Wavelength given Total Energy?

De Broglie Wavelength given Total Energy calculator uses Wavelength given TE = [hP]/(sqrt(2*Mass in Dalton*(Total Energy Radiated-Potential Energy))) to calculate the Wavelength given TE, The De Broglie Wavelength given Total Energy formula is defined as the wavelength that is associated with an object in relation to its momentum and mass. Wavelength given TE is denoted by λ_TE symbol.

How to calculate De Broglie Wavelength given Total Energy using this online calculator? To use this online calculator for De Broglie Wavelength given Total Energy, enter Mass in Dalton (M), Total Energy Radiated (E_radiated) & Potential Energy (PE) and hit the calculate button. Here is how the De Broglie Wavelength given Total Energy calculation can be explained with given input values -> 0.000281 = [hP]/(sqrt(2*5.81185500034244E-26*(52-4))).

FAQ

What is De Broglie Wavelength given Total Energy?

The De Broglie Wavelength given Total Energy formula is defined as the wavelength that is associated with an object in relation to its momentum and mass and is represented as λ_TE = [hP]/(sqrt(2*M*(E_radiated-PE))) or Wavelength given TE = [hP]/(sqrt(2*Mass in Dalton*(Total Energy Radiated-Potential Energy))). Mass in Dalton is the quantity of matter in a body regardless of its volume or of any forces acting on it, Total Energy Radiated is radiated energy by a black body over all wavelengths & Potential Energy is the energy that is stored in an object due to its position relative to some zero position.

How to calculate De Broglie Wavelength given Total Energy?

The De Broglie Wavelength given Total Energy formula is defined as the wavelength that is associated with an object in relation to its momentum and mass is calculated using Wavelength given TE = [hP]/(sqrt(2*Mass in Dalton*(Total Energy Radiated-Potential Energy))). To calculate De Broglie Wavelength given Total Energy, you need Mass in Dalton (M), Total Energy Radiated (E_radiated) & Potential Energy (PE). With our tool, you need to enter the respective value for Mass in Dalton, Total Energy Radiated & Potential Energy 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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