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  • If the frequency of X − rays emitted from the element with atomic number 31 is  , t

If the frequency of K_{\alpha } X − rays emitted from the element with atomic number 31 is v , then the frequency of K_{\alpha } X − rays emitted from the element with atomic number 51 would be

Option: 1

\frac{5}{3}\nu


Option: 2

\frac{51}{31}\nu


Option: 3

\frac{25}{9}\nu


Option: 4

\frac{9}{25}/nu


Answers (1)

\sqrt{v} \propto(Z-1) \text { for } \mathrm{K}_\alpha \mathrm{X} \text { - ray }

\Rightarrow \frac{v_2}{v_1}=\left(\frac{Z_2-1}{Z_1-1}\right)^2 \Rightarrow v_2=\left(\frac{51-1}{31-1}\right)^2 v=\frac{25}{9} v

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Kshitij

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