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Q. According to Moseley's law of $X$-rays the frequency $(v)$ of a particular characteristic $X$-ray and the atomic number $(Z)$ of the element depend on each other as

J & K CETJ & K CET 2008Dual Nature of Radiation and Matter

Solution:

According to Moseley's law of X-rays $\sqrt{v}=k(Z-b)$
where $k=$ proportionality constant, $b=$ Shielding constant.
Here $b=0$
$\therefore \sqrt{v}=k Z$