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MHT CET202313 May 2023Evening ShiftPhysicsDual Nature of MatterActual

An excited hydrogen atom emits a photon of wavelength ' ' in returning to ground state. The quantum number ' n ' of the excited state is ( R = Rydberg's constant)

Options

  1. AR( R-1)
  2. BR ( R -1)
  3. C( R -1) R
  4. D1 R ( R -1)

Correct answer

B. R ( R -1)

Step-by-step solution

Using Rydberg's formula 1 = R [ 1 1^2 - 1 n ^2 ] ( m =1) n ^2-1 n ^2 = 1 R 1- 1 n ^2 = 1 R R -1 R = 1 n ^2 n = R R -1

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