A photon has a collision with a stationary electron (h/mc = 2.43 × 10^-¹² m) and loses 5.0% of its energy. The photon scattering angle is 180°. What is the wavelength of the incident photon in this scattering process? A)2.4 × 10^-¹² m B)4.6 × 10^-¹¹ m C)9.2 × 10^-¹¹ m D)1.9 × 10^-¹⁰ m E)3.1 × 10^-¹² m

Question

Quizplus · Accepted Answer

The Compton wavelength shift formula is used: Δλ = h/mc (1 - cos θ). For θ = 180°, Δλ = 2h/mc. Given that the photon loses 5% of its energy, the initial wavelength λ₀ can be found using the energy-wavelength relation and the Compton shift. Solving gives λ₀ ≈ 9.2 × 10⁻¹¹ m.

A Photon Has a Collision with a Stationary Electron (H/mc