A) \[1.325\times {{10}^{-7}}m\]
B) \[1.325\times {{10}^{-10}}m\]
C) \[2.650\times {{10}^{-7}}m\]
D) \[5.300\times {{10}^{-10}}m\]
Correct Answer: A
Solution :
\[\Delta E=-2.0\times {{10}^{-18}}\times \left( \frac{1}{{{2}^{2}}}-\frac{1}{{{1}^{2}}} \right)\] \[=-2.0\times {{10}^{-18}}\times \frac{-3}{4}\]\[=1.5\times {{10}^{-18}}\] \[\Delta E=\frac{hc}{\lambda }\] \[\lambda =\frac{hc}{\Delta E}=\frac{6.6\times {{10}^{-34}}\times 3\times {{10}^{8}}}{1.5\times {{10}^{-18}}}=1.325\times {{10}^{-7}}m\]
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