A line in Lyman series of hydrogen ...
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A line in Lyman series of hydrogen atom has a wavelength of 1.03 x 10-'m. What is the initial energy level of the electron?

JEE/Engineering Exams
Chemistry
Solution
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[ begin{array}{c} y_{lambda}=Rleft[frac{1}{n^{2}}-frac{1}{P^{2}}right] frac{1}{1.03 times 10^{-7}}=Rleft[frac{1}{(1)^{2}-frac{1}{p^{2}}}right] frac{1}{1.03 times 10^{-7}}=1.09 times 10^{9}left[1-frac{1}{p^{2}}right] frac{1}{1.1227}=1-frac{1}{p^{2}} 1-0.89=frac{1}{p^{2}} 0.11=frac{1}{p^{2}} p^{2}=frac{1}{0.11} p^{2}=9 therefore D=3 end{array} ] Hence, The inital energy level of a elction (p) is 3.
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