An unknown metal sample is interrogated using a beam of X-rays to liberate electrons which are then caught by a detector that determines their kinetic energy. A beam of X-rays with wavelength 9.54nm irradiate the surface of this metal, and the detector observes electrons with kinetic energies equal to 7.3716*10-18 J. What is the binding energy of this unknown metal sample.

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Compton effect

The incoming photons' energy must be in the range of an X-ray frequency to generate the Compton effect. The electron does not lose enough energy that reduces the wavelength of scattered photons towards the visible spectrum. As a result, with visible lights, the Compton effect is missing.

Recoil Velocity

The amount of backward thrust or force experienced by a person when he/she shoots a gun in the forward direction is called recoil velocity. This phenomenon always follows the law of conservation of linear momentum.