Graph

Frequencies of Kα X-rays of different materials are measured. Which one of the graphs in the figure may represent the relation between the frequency *v* and the atomic number *Z *?

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#### Solution

Using Moseley's Law,

`sqrt(v) = a(Z - b)`,

where *v = *frequency of K_{α} X-ray

*Z* = atomic number

`therefore v = a^2(Z - b)^2`

⇒ `(Z - b)^2 = v/a^2`

This is the equation of a parabola with some intercept on the axis, representing atomic number (Z). Hence, curve *d *represent this relation correctly.

Concept: Electromagnetic Spectrum

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