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According to Moseley's law, the ratio of slopes of graph between square root of frequency and mass number for K_{\beta} and K_{\alpha} is - 

Option: 1

1.089 


Option: 2

2.234 


Option: 3

0.132


Option: 4

2.549


Answers (1)

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\begin{array}{l}{\text { Moseley's law for frequency of } X \text { -ray is given by }} \\ {\sqrt{V}=\sqrt{C R\left(\frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}}\right)}(Z-b)} \\ {\text { for K-series b }=1 . \text { for } \mathrm{Ka} \text { line } \mathrm{n}_{1}=1 \text { and } \mathrm{n}_{2}=2 ; \text { for } \mathrm{K}_{\beta} \text { line } \mathrm{n}_{1}=1 \text { and } \mathrm{n}_{2}=3} \\ {\text { For Ka line the slope is }} \\ {\sqrt{C R \frac{3}{4}}}\end{array}

\\ {\text {and for } \mathrm{K} \beta} \text { line the slope is } \\ \\ \sqrt{C R \frac{8}{9}}

\sqrt{\frac{8}{9} \times \frac{4}{3}}=\sqrt{\frac{32}{27}}=1.089

Posted by

Pankaj Sanodiya

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