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The largest wavelength in the ultraviolet region of the hydrogen spectrum is 122nm. Find the smallest wavelength in the infrared region of the hydrogen spectrum

Answers (1)

The largest wavelength in the hydrogen spectrum id for the transition n=2 to n=1. That is 

\\\frac{1}{122}=R(\frac{1}{1}-\frac{1}{2^2})........(1)

The smallest wavelength in the infrared region is for the transition n=\infty\ to\ n=3. That is

\\\frac{1}{\lambda}=R(\frac{1}{3^2}-\frac{1}{\infty})......(2)

from (1) and (2)

\lambda=\frac{9\times3\times122}{4}=823.5nm​​​​​​

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Safeer PP

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