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KCET2009PhysicsAtomic Physics

Hydrogen atom from excited state comes to the ground stage by emitting a photon of wavelength . If R is the Rydberg constant, the principal quantum number n of the excited state is

Options

  1. AR R-1
  2. BR-1
  3. CR ² R -1
  4. DR -1

Correct answer

A. R R-1

Step-by-step solution

Here, n _ f =1, n _ i = n 1 = R ( 1 1² - 1 n ² ) 1 = R (1- 1 n ² ) ...(i) or 1 R =1- 1 n² or 1 n² =1- 1 R or n = R R-1

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