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MHT CET Chemistry Structure of Atom 2026 MHT CET 2026 (19 April Shift 1)

MHT CET Chemistry Question (2026) — Solution

Question

What is the wave number of lowest transition associated with Paschen series?

Options

  1. A. v = R_H ( 5 36 )\ cm ^ -1
  2. B. v = R_H ( 36 5 )\ cm ^ -1
  3. C. v = R_H ( 144 7 )\ cm ^ -1
  4. D. R_H ( 7 144 )\ cm ^ -1

Answer

D. R_H ( 7 144 )\ cm ^ -1

Step-by-step solution

The wave number v for a transition in a hydrogen atom is given by the Rydberg formula: v = R_H ( 1 n_1^2 - 1 n_2^2 ) For the Paschen series, the lower energy level is n_1 = 3. The lowest transition corresponds to the minimum energy difference, which occurs for the transition from the immediately higher energy level, n_2 = 4. Substituting these values into the formula: v = R_H ( 1 3^2 - 1 4^2 ) v = R_H ( 1 9 - 1 16 ) v = R_H ( 16 - 9 144 ) v = R_H ( 7 144 ) cm ^ -1 Answer: R_H ( 7 144 )\ cm ^ -1

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