In Compton scattering from stationary electrons the largest change in wavelength occurs when the photon is scattered through:

Explanation

The largest change in wavelength occurs when the photon is scattered through 180 degrees because the photon is reflected directly back in the direction from which it came. At this angle, the photon transfers the maximum amount of energy to the electron, leading to the largest possible increase in its wavelength.In Compton scattering, the change in wavelength is given by the formula: Δλ = (h/mc)(1 - cosθ), where θ is the scattering angle. The term (1 - cosθ) reaches its maximum value at θ = 180°.Option A (0 degrees) results in no change in wavelength because the photon continues in its original path. Option B (45 degrees) and Option C (90 degrees) do result in changes in wavelength, but these changes are not as large as at 180 degrees.