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MHT CET20244 May 2024Morning ShiftPhysicsAtomic PhysicsActual

For hydrogen atom, ' ₁ ' and ' ₂ ' are the wavelengths corresponding to the transitions 1 and 2 respectively as shown in figure. The ratio of ' ₁ ' and ' ₂ ' is x 32 . The value of ' x ' is

Options

  1. A3
  2. B9
  3. C27
  4. D81

Correct answer

C. 27

Step-by-step solution

1 ₁ = R [ 1 n ₁^2 - 1 n ₂^2 ]= R [ 1 1^2 - 1 3^2 ]= 8 9 R Similarly; 1 ₂ =R [ 1 1^2 - 1 2^2 ]= 3 4 R aligned & 1 ₁ 1 ₂ = 8 9 R 3 4 R & ₁ ₂ = 27 32 & x=27 aligned

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