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NEET2026PhysicsChapterActual

In the emission spectrum of a hydrogen atom, which of the following transitions corresponds to the longest wavelength in the Paschen series?

Options

  1. An = 5 n = 3
  2. Bn = 4 n = 3
  3. Cn = n = 3
  4. Dn = 3 n = 2

Correct answer

B. n = 4 n = 3

Step-by-step solution

For the Paschen series in the hydrogen emission spectrum, the electron transitions from a higher energy level n₂ to the lower energy level n₁ = 3 . The wavelength of the emitted photon is given by the Rydberg formula: 1 = R_H ( 1 3^2 - 1 n₂^2 ) where n₂ = 4, 5, 6, The longest wavelength corresponds to the minimum energy difference between the two levels. This occurs when the electron transitions from the nearest higher energy level. Therefore, for the minimum energy and longest wavelength, n₂ = 4 . The required tra

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