A Compton scattering experiment finds that the incident wavelength $1 ...
Compton Scattering Experiment Analysis
Compton scattering is the process of X-ray or gamma-ray photons interacting with electrons, resulting in a shift in the wavelength of the incident radiation. In this experiment, a Compton scattering event occurred at a scattering angle of 120, resulting in a 1.5 percent shift in the incident wavelength.
Incident Wavelength Calculation
The Compton effect is described by the equation Δλ = λ' - λ = h(1 - cosθ) / mc, where Δλ is the change in wavelength, λ' is the scattered wavelength, λ is the incident wavelength, h is Planck's constant, θ is the scattering angle, m is the mass of the electron, and c is the speed of light.
Given that the scattering angle is 120 and the wavelength shift is 1.5 percent, we can calculate the incident wavelength λ using the formula mentioned above.
Calculation
Let's assume the incident wavelength is denoted by λ. The change in wavelength Δλ is given as 1.5% of λ, i.e., 0.015λ. The scattering angle θ is 120 degrees.
Substitute these values into the Compton scattering equation and solve for λ to find the incident wavelength.
Conclusion
By analyzing the Compton scattering experiment data, we can determine the incident wavelength of the radiation. This calculation is crucial for understanding the interaction between photons and electrons, as well as for various applications in physics and related fields.