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MHT CET20243 May 2024Morning ShiftPhysicsAtomic PhysicsActual

If ' ₁ ' and ' ₂ ' are the wavelengths of the first line of the Lyman and Paschen series respectively, then ₂: ₁ is

Options

  1. A3: 1
  2. B30: 1
  3. C50: 7
  4. D108: 7

Correct answer

D. 108: 7

Step-by-step solution

Using Rydberg's formula, aligned 1 & = R [ 1 n ₁^2 - 1 n ₂^2 ] 1 ₁ & = R [ 1 1^2 - 1 4 ] & ( n ₁=1 and n ₂=2 for Lyman series ) & = 3 R 4 1 ₂ & = R [ 1 9 - 1 16 ] & ( n ₁=3 and n ₂=4 for Paschen series ) & = 7 R 144 aligned array ll & 1 ₁ ₂ 1 = 3 R 4 144 7 R & ₂ ₁ = 108 7 array

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