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  4. The plot of square root of frequency of X-ray emitted against atomic number led to suggestion of which law/rule ?

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Q. The plot of square root of frequency of $X$-ray emitted against atomic number led to suggestion of which law/rule ?

MHT CETMHT CET 2014

Solution:

Moseley, gave modern periodic law. He showed that atomic number is more fundamental property of an element than its atomic mass as follows

"The square root of the frequency of a line (of X-ray spectrum) is related to the atomic number $Z$ of the target material as,

$\sqrt{v}=a(Z-b)$

where, $a=$ proportionality constant

$Z=$ atomic number

$b=$ another constant

$L$ it, has the same value for all the lines of X-rays spectrum).