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MHT CET · Physics · Atomic Physics

The wave number of first line in Lyman series of hydrogen atom is ( \(R\) is Rydberg's constant)

  1. A \(\frac{3 R}{2}\)
  2. B \(\frac{3 R}{4}\)
  3. C \(2 R\)
  4. D \(\frac{R}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{3 R}{4}\)

Step-by-step Solution

Detailed explanation

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: \(\frac{3 R}{4}\)