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Question: Answered & Verified by Expert
Calculate the wave number of photon emitted during transition from the orbit $\mathrm{n}=2$ to $\mathrm{n}=1$ in hydrogen atom $\left(\mathrm{R}_{\mathrm{H}}=109677 \mathrm{~cm}^{-1}\right)$
ChemistryStructure of AtomMHT CETMHT CET 2022 (05 Aug Shift 1)
Options:
  • A $72740 \mathrm{~cm}^{-1}$
  • B $92820 \mathrm{~cm}^{-1}$
  • C $82258 \mathrm{~cm}^{-1}$
  • D $83560 \mathrm{~cm}^{-1}$
Solution:
1653 Upvotes Verified Answer
The correct answer is: $82258 \mathrm{~cm}^{-1}$
$\begin{aligned} & \overline{\mathrm{V}}=\mathrm{R}_{\mathrm{H}}\left(\frac{1}{\mathrm{n}_1^2}-\frac{1}{\mathrm{n}_2^2}\right) \\ & =109677\left(\frac{1}{1^2}-\frac{1}{2^2}\right) \\ & =82,257.75 \mathrm{~cm}^{-1}\end{aligned}$

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