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Question: Answered & Verified by Expert
In hydrogen atoms, transition from the state $n=6$ to $n=1$ result in ultraviolet radiation.
Infrared radiation will be obtained in the transition
PhysicsAtomic PhysicsMHT CETMHT CET 2022 (05 Aug Shift 2)
Options:
  • A $\mathrm{n}=6$ to $\mathrm{n}=2$
  • B $\mathrm{n}=5$ to $\mathrm{n}=3$
  • C $\mathrm{n}=3$ to $\mathrm{n}=5$
  • D $\mathrm{n}=4$ to $\mathrm{n}=2$
Solution:
1057 Upvotes Verified Answer
The correct answer is: $\mathrm{n}=3$ to $\mathrm{n}=5$
$\frac{1}{\lambda}=\mathrm{R}\left(\frac{1}{\mathrm{n}_1^2}-\frac{1}{\mathrm{n}_2^2}\right)$
For $\mathrm{UV}_1=1$ and $\mathrm{n}_2=6, \lambda \propto \frac{1}{\mathrm{R}} \frac{36}{35}$
For infrared the wavelength must be greater the UV wavelength.
For $\mathrm{n}_1=3$ and $\mathrm{n}_2=5, \lambda \propto \frac{1}{\mathrm{R}} \frac{225}{16}$
This is the largest wavelength we can get. So, it is the answer.

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