All Problems

Properties of Atoms. Spectra.

Problem 6.138

When the voltage applied to an X-ray tube increased from \(V_{1}=10 \mathrm{kV}\) to \(V_{2}=20 \mathrm{kV}\), the wavelength interval between the \(K_{\alpha}\) line and the short-wave cut-off of the continuous X-ray spectrum increases by a factor \(n=3.0 .\) 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