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, 1 λ = R 1 n 1 2 - 1 n 2 2 In this case, n 1 = 1 and n 2 = n . Therefore, ⇒ 1 λ = R 1 1 2 - 1 n 2 ⇒ n = λ R λ R - 1

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