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JIPMER 2004
Exam
JIPMER
Year
2004
Subject
Chemistry
Chapter
Structure of Atom

JIPMER 2004 · Chemistry · Structure of Atom

Which is the shortest wavelength line in the Lyman series of the...

Which is the shortest wavelength line in the Lyman series of the hydrogen spectrum?  ( R=1.097×10−2nm−1\text{ ( } R=1.097 \times 10^{-2} \mathrm{ nm}^{-1} ) \text{ ) }

Options

  1. A94.21 nm
  2. B91.16 nm
  3. C911.6 nm
  4. D933.6 nm

Correct answer

B. 91.16 nm

Step-by-step solution

For Lyman series, 1λ=R\frac{1}{\lambda}=R\left(\frac{1}{(1)^2}-\frac{1}{n^2}\right)hence,forhence, for\lambdatobesmallest,to be smallest,nshouldbegreatest(i.e.,should be greatest (i.e.,\infty))\therefore \quad \frac{1}{\lambda_{\min }}=1.097 \times 10^{-2}\left(1-\frac{1}{\infty^2}\right)=1.097×10−2 or λmin⁡=11.097×10−2=91.16 nm\begin{aligned} & =1.097 \times 10^{-2} \\ \text{ or } \quad \lambda_{\min } & =\frac{1}{1.097 \times 10^{-2}}=91.16 \mathrm{~nm}\end{aligned}
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