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Duane-Hunt Law

When electrons strike a metal, photons can be knocked out. This is the reverse of the photoelectric effect, and is the way that your doctor's x-ray machine works. (There is a similar figure on p. 947 of Halliday.)

 

Suppose that an x-ray tube accelerates electrons to Ee = keV.

a) Write a symbolic equation that tells you the highest energy x-ray produced. Your answer will contain some of the following quantities: the electron energy, Ee, Planck's constant, h, the photon frequency, f, the electron charge, e, and the work function, phi.

Egmax =

b) What is the energy in Joules of the highest energy x-ray produced?

E = J

c) What is the wavelength in nm of the shortest wavelength of x-rays produced?

l = nm

d) What is the frequency in Hz of the highest frequency x-rays produced?

f = Hz