An X-ray photon with momentum is scattered through from its original direction

PHYSICS · Subjective · CBSE · Physics · Dual Nature of Radiation and Matter · Dual Nature of Radiation and Matter

Problem

An X-ray photon with momentum

p_i=8.0\times10^{-24}\,\text{kg}\cdot\text{m/s}

is scattered through

45^{\circ}

from its original direction. The scattered photon’s momentum magnitude is

p_s=6.4\times10^{-24}\,\text{kg}\cdot\text{m/s}

. Determine the component of the recoil electron’s momentum that is parallel to the photon’s initial direction immediately after the collision.