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An X-ray machine produces X-ray by bombarding a molybdenum ( Z = 42) target with a beam of electrons. First, free electrons are ejected from

An X-ray machine produces X-ray by bombarding a molybdenum (Z = 42) target with a beam of electrons. First, free electrons are ejected from a filament by thermionic emission and are accelerated by 25 kV of potential difference between the filament and the target. Assume that the initial speed of electrons emitted from the filament is zero. For the calculation of characteristic X-ray, use = 1 for the electron transition down to K shell (n = 1) and = 7.4 for the electron transition down to L shell (n = 2).

(a)

What is the minimum wavelength of electromagnetic waves produced by bremsstrahlung? (6 pt)

(b)

What is the energy of the characteristic X-ray photon when an electron in n = 4 orbital moves down to n = 2 in the molybdenum target? (5 pt)

(c)

What is the frequency of the characteristic X-ray in part (b)? (2 pt)

(d)

What is the energy the characteristic X-ray photon when an electron in n = 2 orbital moves down to n = 1 in the molybdenum target? (5 pt)

(e)

What is the frequency of the characteristic X-ray in part (d)? (2 pt)

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