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Q. Electrons with energy 80 keV are incident on the tungsten
target of an X-ray tube. X-shell electrons of tungsten have
72.5 keV energy. X-rays emitted by the tube contain only

IIT JEEIIT JEE 2000

Solution:

Minimum wavelength of continuous X-ray spectrum is given
by $ \lambda_{min} (in A) = \frac{12375}{E(in eV)}$
Here E = energy of incident electrons (in eV) = energy corresponding to minimum wavelength
$ \lambda_{min}$ of X-rays.
$ E = 80KeV = 80 \times 10^3 eV $
$ \therefore \lambda_{min}(in A) = \frac{12375}{80 \times 10^3} = 0.155 $
Also the energy of the incident electrons (80 keV) is more
than the ionization energy of the A'-shell electrons (i.e.,
72.5 keV). Therefore, characteristic X-ray spectrum will also
be obtained because energy of incident electron is high
enough to knock out the electron from K or /.-shells,