In the Compton effect,what is the greatest change in wavelength that can occur? (h = 6.63 × 10^-34 J·s,m_electron = 9.11 × 10^-31 kg,and c = 3.00 × 10⁸ m/s) A)2.43 × 10^-12 m B)4.85 × 10^-12 m C)equal to the incident wavelength D)infinite

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Quizplus · Accepted Answer

The greatest change in wavelength occurs when the scattered photon is emitted at a 90° angle with respect to the incident photon. Using the formula for Compton shift: Δλ = h/mc(1-cosθ), where θ is the angle between the incident and scattered photons, m is the mass of the electron, and c is the speed of light. At 90°, cosθ = 0, so Δλ = h/mc. Plugging in the given values gives: Δλ = (6.63 × 10^-34 J·s) / (2(9.11 × 10^-31 kg)(3.00 × 10^8 m/s)) which simplifies to 4.85 × 10^-12 m. Therefore, option B is the correct answer.

In the Compton Effect,what Is the Greatest Change in Wavelength