All Problems

Properties of Atoms. Spectra.

Problem 6.138

When the voltage applied to an X-ray tube increased from V1=10kVV_{1}=10 \mathrm{kV} to V2=20kVV_{2}=20 \mathrm{kV}, the wavelength interval between the KαK_{\alpha} line and the short-wave cut-off of the continuous X-ray spectrum increases by a factor n=3.0.n=3.0 . Find the atomic number of the element of which the tube's anticathode is made.

Reveal Answer
Z=1+2(n1)eV1/3R(nV1/V2)=29Z=1+2 \sqrt{(n-1) e V_{1} / 3 \hbar R\left(n-V_{1} / V_{2}\right)}=29