A) \[1\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
B) \[1.388\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
C) \[0.3541\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
D) \[0.5\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
Correct Answer: B
Solution :
Energy in an orbit \[E=-{{Z}^{2}}\frac{Rhc}{{{n}^{2}}}\] or \[E\propto {{Z}^{2}}\] ??(i) But \[E=\frac{hc}{\lambda }\] or \[E\propto \frac{1}{\lambda }\] ?(ii) From Eqs. (i) and (ii) \[\frac{{{Z}_{1}}^{2}}{{{Z}_{2}}^{2}}=\frac{{{\lambda }_{2}}}{{{\lambda }_{1}}}\] or \[{{\left( \frac{42}{30} \right)}^{2}}=\frac{{{\lambda }_{2}}}{0.7078}\] or \[{{\lambda }_{2}}=1.388\overset{\text{o}}{\mathop{\text{A}}}\,\]
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