Hydrogen atom from excited state comes to the ground by emitting a photon of wavelength $λ$ . The value of principal quantum number $n$ of the excited state will be :
( $R :$ Rydberg constant)

Question

Hydrogen atom from excited state comes to the ground by emitting a photon of wavelength λ . The value of principal quantum number n of the excited state will be : ( R : Rydberg constant)

TestHub · Accepted Answer

When an electron jumps from a n t h orbit to ground state, using Rydberg formula, λ 1 ​ = R ( ( n 1 ​ ) 2 1 ​ − ( n 2 ​ ) 2 1 ​ ) In this case, n 1 ​ = 1 and n 2 ​ = n . Therefore, ⇒ λ 1 ​ = R ( 1 2 1 ​ − n 2 1 ​ ) ⇒ n = λ R − 1 λ R ​ ​

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