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AP EAMCET202422 May 2024Morning ShiftPhysicsAtomic PhysicsActual

The ratio of minimum wave length of Balmer series to maximum wavelength in Brackett series in hydrogen spectrum is

Options

  1. A25:16
  2. B4:36
  3. C9:100
  4. D100:9

Correct answer

C. 9:100

Step-by-step solution

For hydrogen atom, 1 = R ( 1 n ₁^2 - 1 n ₂^2 ) For Balmer series, n ₁=2, n ₂=3,4,5, . 1 _ = R ( 1 2^2 - 1 ^2 )= R 4 _ = 4 R For Bracket series, n₁=4, n₂=5,6,7, aligned & 1 _ = R ( 1 4^2 - 1 5^2 )= 9 R 16 25 _ = 16 25 9 R & _ _ = 4 R 16 25 9 R =9: 100 aligned

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