It is observed that characteristic X-ray spectra of elements show regularity. What frequency to the power i.e., of X-ray emitted is plotted against atomic number “Z”, following graph is obtained. The value of is [2023]

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Solution

Q.
It is observed that characteristic X-ray spectra of elements show regularity. What frequency to the power $“ n ”$ i.e., $ν^{n}$ of X-ray emitted is plotted against atomic number “Z”, following graph is obtained. The value of $“ n ”$ is [2023]

1 $2$

2 $3$

3 $1$

4 $\frac{1}{2}$

Ans.
(4)

$v^{n} \propto Z$

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

$∴$ $n = \frac{1}{2}$

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