JEE Mains · Chemistry · STD 11 - 2. structure of atom
Heat treatment of muscular pain involves radiation of wavelength of about 900 nm . Which spectral line of H atom is suitable for this?
Given : Rydberg constant \(\mathrm{R}_{\mathrm{H}}=10^5 \mathrm{~cm}^{-1}, \mathrm{~h}=6.6 \times 10^{-34} \mathrm{~J} \mathrm{~s}, \mathrm{c}=3 \times 10^8 \mathrm{~m} / \mathrm{s}\) )
- A Balmer series, \(\infty \rightarrow 2\)
- B Lyman series, \(\infty \rightarrow 1\)
- C Paschen series, \(\infty \rightarrow 3\)
- D Paschen series, \(5 \rightarrow 3\)
Answer & Solution
Correct Answer
(C) Paschen series, \(\infty \rightarrow 3\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \lambda=900 \mathrm{~nm} \quad \text { H-atom }(\mathrm{Z}=1) \\ & =9 \times 10^{-5} \mathrm{~cm} \\ & \mathrm{R}_{\mathrm{H}}=10^5 \mathrm{~cm}^{-1} \\ & \text { Ryderg eq. }=\frac{1}{\lambda}=\mathrm{R}_{\mathrm{H}} \mathrm{Z}^2…
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