A) \[v\,\alpha \left( Z-b \right)\]
B) \[v\,\alpha {{\left( Z-b \right)}^{2}}\]
C) \[\sqrt{v}\,\alpha {{\left( Z-b \right)}^{2}}\]
D) \[v\,\alpha \frac{1}{{{\left( Z-b \right)}^{2}}}\]
Correct Answer: C
Solution :
According to Moseley the frequency of emitted radiation corresponding to the transition of electron from energy level \[{{n}_{2}}\] to \[{{n}_{1}}\]is \[v=R{{(Z-b)}^{2}}\left( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right)\] \[\Rightarrow \] \[v\propto {{(Z-b)}^{2}}\] or \[\sqrt{v}\propto (Z-b)\]
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