Compton Wavelength given Compton Shift Solution

STEP 0: Pre-Calculation Summary
Formula Used
Compton Wavelength = Compton Shift/(1-cos(Theta))
λc = Δλ/(1-cos(θ))
This formula uses 1 Functions, 3 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Compton Wavelength - (Measured in Meter) - Compton Wavelength is a quantum mechanical property of a particle.
Compton Shift - (Measured in Meter) - Compton Shift is the separation of the two peaks which depends on the scattering angle,θ of the outgoing beam.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
STEP 1: Convert Input(s) to Base Unit
Compton Shift: 0.32 Electron Compton Wavelength --> 7.76419385599982E-13 Meter (Check conversion here)
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λc = Δλ/(1-cos(θ)) --> 7.76419385599982E-13/(1-cos(0.5235987755982))
Evaluating ... ...
λc = 5.79527319008109E-12
STEP 3: Convert Result to Output's Unit
5.79527319008109E-12 Meter -->2.38851251684408 Electron Compton Wavelength (Check conversion here)
FINAL ANSWER
2.38851251684408 2.388513 Electron Compton Wavelength <-- Compton Wavelength
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Indian Institute of Technology (IIT), Kanpur
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6 Compton Effect Calculators

Compton Wavelength of Electron
Go Compton Wavelength of an Electron = [hP]/(Rest Mass of Electron*[c])
Compton Shift
Go Compton Shift of an Atom = Wavelength of Scattered Beam-Wavelength of incident beam
Compton Wavelength given Compton Shift
Go Compton Wavelength = Compton Shift/(1-cos(Theta))
Compton Shift given Wavelength
Go Compton Shift = Compton Wavelength*(1-cos(Theta))
Wavelength of Scattered Beam given Compton Shift
Go Wavelength of Scattered Beam = Compton Shift+Wavelength of incident beam
Wavelength of Incident Beam given Compton Shift
Go Wavelength of incident beam = Wavelength of Scattered Beam-Compton Shift

Compton Wavelength given Compton Shift Formula

Compton Wavelength = Compton Shift/(1-cos(Theta))
λc = Δλ/(1-cos(θ))

What is Compton wavelength?

The Compton wavelength is the quantum mechanical property of a particle and is defined as the wavelength of the particle equal to the wavelength of the photon with the same mass. It is well explained through the process called Compton scattering. The standard Compton wavelength is denoted by the Greek letter λ (Lambda).

How to Calculate Compton Wavelength given Compton Shift?

Compton Wavelength given Compton Shift calculator uses Compton Wavelength = Compton Shift/(1-cos(Theta)) to calculate the Compton Wavelength, The Compton Wavelength given Compton Shift is equal to the wavelength of a photon whose energy is the same as the mass of that particle. Compton Wavelength is denoted by λc symbol.

How to calculate Compton Wavelength given Compton Shift using this online calculator? To use this online calculator for Compton Wavelength given Compton Shift, enter Compton Shift (Δλ) & Theta (θ) and hit the calculate button. Here is how the Compton Wavelength given Compton Shift calculation can be explained with given input values -> 9.8E+11 = 7.76419385599982E-13/(1-cos(0.5235987755982)).

FAQ

What is Compton Wavelength given Compton Shift?
The Compton Wavelength given Compton Shift is equal to the wavelength of a photon whose energy is the same as the mass of that particle and is represented as λc = Δλ/(1-cos(θ)) or Compton Wavelength = Compton Shift/(1-cos(Theta)). Compton Shift is the separation of the two peaks which depends on the scattering angle,θ of the outgoing beam & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
How to calculate Compton Wavelength given Compton Shift?
The Compton Wavelength given Compton Shift is equal to the wavelength of a photon whose energy is the same as the mass of that particle is calculated using Compton Wavelength = Compton Shift/(1-cos(Theta)). To calculate Compton Wavelength given Compton Shift, you need Compton Shift (Δλ) & Theta (θ). With our tool, you need to enter the respective value for Compton Shift & Theta 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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