How Does Compton Scattering Affect Photon Wavelength at 90 Degrees?

[Questions999]

Homework Statement

The length of the photon waves which are under Compton scattering ( compton scattering is applied on them) is measured in the angle =90 degree.If ΔΛ/Λ is 1.5 %,what is the length of the waves of the falling photons?

Homework Equations

The Attempt at a Solution

The only problem here is ΔΛ/Λ = 1.5 %, I don't know how to relate that to the above formula..

 

[rude man]

Homework Statement

The length of the photon waves which are under Compton scattering ( compton scattering is applied on them) is measured in the angle =90 degree.If ΔΛ/Λ is 1.5 %,what is the length of the waves of the falling photons?

Homework Equations

The Attempt at a Solution

The only problem here is ΔΛ/Λ = 1.5 %, I don't know how to relate that to the above formula..

By definition, Δλ = (λ' - λ)/λ.

 

[mfb]

By definition, Δλ = (λ' - λ)/λ.

I think that should be Δλ = (λ' - λ) or Δλ/λ = (λ' - λ)/λ.

 

[rude man]

I think that should be Δλ = (λ' - λ) or Δλ/λ = (λ' - λ)/λ.

Right. Sorry.

 

[Nickie]

Compton scattering is a fundamental phenomenon in physics that occurs when a photon interacts with a charged particle, typically an electron. In this process, the photon transfers some of its energy and momentum to the electron, resulting in a change in the wavelength of the scattered photon. This change in wavelength, ΔΛ, can be measured as a percentage of the original wavelength, Λ, and is given by the formula ΔΛ/Λ = h/mc(1-cosθ), where h is Planck's constant, m is the mass of the electron, c is the speed of light, and θ is the scattering angle.

In the given problem, we are given that the scattering angle, θ, is 90 degrees. Plugging this into the formula, we get ΔΛ/Λ = h/mc(1-cos90) = 2h/mc. Since we are also given that ΔΛ/Λ = 1.5%, we can set up the equation (1.5/100) = 2h/mc and solve for the wavelength of the falling photons. This calculation will depend on the specific values of h, m, and c, which can be determined from experimental data.

I hope this helps answer your question about Compton scattering and the relationship between the scattering angle and the change in wavelength. As a scientist, it is important to carefully analyze and interpret data in order to make meaningful conclusions about physical phenomena. Keep up the good work!