Atomic StructureHard
Question
The wavelength of Kα-characteristic X-rays produced is λ, when cathode rays strike on a metal of atomic number Z. What should be the atomic number of metal such that it can produce the Kα-characteristic X-rays of wavelength 4λ?
Options
A.$\frac{Z}{16}$
B.$\frac{Z}{2}$
C.$\frac{Z + 1}{2}$
D.2Z – 1
Solution
$\sqrt{\frac{c}{\lambda}} = a(z - 1)\text{ and }\sqrt{\frac{c}{4\lambda}} = a(z' - 1)$
$\therefore z' = \frac{z + 1}{z}$
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