An electron, traveling at a speed of 5.90 × 10 6 5.90×106 m/s, strikes the target of an x-ray tube. upon impact, the electron decelerates to three-quarters of its original speed, with an x-ray photon being emitted in the process. what is the wavelength of the photon?

Explanation:

Due to the law of conservation of energy, the energy of the emitted X-ray photon is equal to the energy lost by the electron.

The initial kinetic energy of the electron is:

The electrons decelerates to 3/4 of its speed, so the new speed is

So the final kinetic energy is

So, the energy lost by the electron, which is equal to the energy of the emitted photon, is

The wavelength of the photon is related to its energy by

where h is the Planck constant and c the speed of light. Substituting E, we find

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explanation:

conservation of mass

mass before something happens = mass afterwards