Electromagnetic radiation with a wavelength of 5.7 * 10^-¹² m is incident on stationary electrons. Radiation that has a wavelength of 6.577 * 10^-¹² m is detected at a scattering angle of : A) 10$\degree$ B) 121$\degree$ C) 40$\degree$ D) 50$\degree$ E) 69$\degree$

Question

Quizplus · Accepted Answer

The wavelength of the incident radiation is shorter than the wavelength of the detected radiation, indicating that the electrons were scattered at an angle greater than 90 degrees. Using the equation for the Compton scattering angle, we get:

θ = cos⁻¹ [1 + (λ₂/λ₁)*(1-cosθ)]

where θ is the scattering angle, λ₁ is the wavelength of the incident radiation, and λ₂ is the wavelength of the detected radiation.

Plugging in the values given, we get:

θ = cos⁻¹ [1 + (6.577x10⁻¹⁰/5.7x10⁻¹⁰)*(1-cosθ)]

Solving this equation for θ, we get:

θ = 50.1 degrees

Therefore, the best choice is D, 50 degrees.

Electromagnetic Radiation with a Wavelength of 5 °\degree° B) 121 °\degree° C) 40

Electromagnetic Radiation with a Wavelength of 5 $\degree$ B) 121 $\degree$ C) 40