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AP Physics 2
15.6 Compton Scattering
15.1 Quantum Theory and Wave-Particle Duality
AdvancedMCQMathematical19.2k
A 2D coordinate diagram showing momentum vectors before and after a collision. A horizontal vector labeled p_0 points to the right along the positive x-axis, representing the incident photon momentum. At the origin, a dashed vertical axis extends upward along the positive y-axis, where a second vector labeled p_prime points straight upward at a 90-degree angle to p_0, representing the scattered photon momentum. A third vector labeled p_e starts at the origin and points into the fourth quadrant (downward and to the right) at an angle relative to the x-axis, representing the recoiling electron momentum. A right-angle symbol is drawn between p_0 and p_prime at the origin. No other labels, lines, text, or axes appear.
Momentum vectors during a 90-degree Compton scattering event.
A photon with initial wavelength \(\lambda_0\) collides with an electron that is initially at rest. The photon scatters at an angle of \(90^\circ\) relative to its initial direction of motion, emerging with a longer wavelength \(\lambda'\). Which of the following expressions represents the de Broglie wavelength \(\lambda_e\) of the recoiling electron immediately after the collision?

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