A sample is bombarded by incident X-rays, and free electrons in the sample scatter some of the X-rays at an angle of = 122.08

A sample is bombarded by incident X-rays, and free electrons in the sample scatter some of the X-rays at an angle of θ = 122.08 with respect to the incident X-rays (see Figure 29.10). The scattered X-rays have a momentum whose magnitude is 1.856 × 10-24 kg?m/s. Determine the wavelength (in nm) of the incident X-rays. (For accuracy, use h = 6.626 × 10-34 J ? s, c = 2.998 × 108 m/s, and m = 9.109 × 10-31 kg for the mass of an electron.)

Figure 29.10:

Recoil Electron electron at rest Incident X-ray photon Scattered X-ray photon