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AP EAMCET201823 Apr 2018Evening ShiftPhysicsAtomic PhysicsActual

If ₁ and ₂ are the wavelength of the photons emitted, when electrons in the n^ th orbit of hydrogen atom fall to first excited state and ground state respectively, then the value of n is

Options

  1. A2 ( ₂- ₁ ) 2 ₂- ₁
  2. B2 ₂- ₁ 2 ( ₂- ₁ )
  3. C4 ₂- ₁ 4 ( ₂- ₁ )
  4. D4 ( ₂- ₁ ) (4 ₂- ₁ )

Correct answer

D. 4 ( ₂- ₁ ) (4 ₂- ₁ )

Step-by-step solution

We have, ₁= h c E_ n 2 and ₂= h c E_ n 1 aligned & ₁ ( 13.6 4 - 13.6 n^2 ) = ₂ ( 13.6 1 - 13.6 n^2 ) & n = 4 ( ₂- ₁ ) 4 ₂- ₁ aligned

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