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MHT CET20249 May 2024Morning ShiftPhysicsAtomic PhysicsActual

In hydrogen atom, ratio of the shortest wavelength in the Balmer series to that in the Paschen series is

Options

  1. A9: 4
  2. B3: 1
  3. C4: 9
  4. D1: 3

Correct answer

C. 4: 9

Step-by-step solution

The shortest wavelength in Balmer series is given by 1 ₁ = R ( 1 2^2 - 1 )= R 4 ...(i) The shortest wavelength in the Paschen series given by 1 ₂ = R ( 1 3^2 - 1 )= R 9 ...(ii) Dividing equation (ii) by equation (i), ₁ ₂ = R 9 4 R = 4 9

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