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Question: Answered & Verified by Expert
The wave number of first line in Lyman series of hydrogen atom is ( $R$ is Rydberg's constant)
PhysicsAtomic PhysicsMHT CETMHT CET 2022 (06 Aug Shift 1)
Options:
  • A $\frac{3 R}{2}$
  • B $\frac{3 R}{4}$
  • C $2 R$
  • D $\frac{R}{2}$
Solution:
2692 Upvotes Verified Answer
The correct answer is: $\frac{3 R}{4}$
According to Rydberg equation:
$\frac{1}{\lambda}=R\left(1-\frac{1}{n^2}\right)$
For first line, electron moves from $n=2$ to the lowest energy level of the electron.
Therefore, corresponding wave no. is given by: $\frac{3 R}{4}$

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