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In: Physics

What is the wavelength of an electron with a kinetic energy of 8 keV? What are...

What is the wavelength of an electron with a kinetic energy of 8 keV?
What are the wavelength and frequency of the 8 keV x-rays frequently used for protein crystallography experiments? Compare to question 17 (What is the wavelength of an electron with a kinetic energy of 8 keV?).
Consider electrons are accelerated with 5 kV voltage in a cathode ray tube. What is the short wavelength limit (SWL) of the continuous radiation that will be obtained?
Thanks

Expert Solution

Solution:

The wavelength of an electron is related to Kinetic energy by the equation,

where is the planck's constant and is the mass.

(a) Given,

So, The wavelength is given by

(b) The wavelength of an EM wave is related to its energy E by

Given,

Thus,

The frequency is given by,

Comparing, wavelength of electron and x-rays, we have

(c) The electrons are accelerated with 5 kV voltage in the cathode ray tube. So, the short wavelength limit (SWL) is given by,

genius_generous answered 2 years ago

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