A hydrogen atom in the n=6 state decays to the n=3 state. what is the wavelength of the photon that the hydrogen atom emits? use hc=1240 nm ev.

Respuesta :

The wavelength of a photon that the hydrogen atom emits is 1.093 x 10^-8 m.

The wavelength of a photon is given by the following formula,

1/λ = R{1/n1^2- 1/n2^2}

Here λ is the wavelength of the photon

R is the Rydberg Constant= 1.097 x 10^7 m

N1 is the initial state

N2 is the final state

Putting n1 =3, n2= 6 in the above equation, the wavelength lambda comes out to be,

1/λ = R{1/(3)^2 - 1/(6)^2}

λ = 12/1.097 x 10^7

Lambda = 1.093 x 10^-8 m.

Hence, the wavelength of the photon that the hydrogen atom emits is 1.093 x 10^-8 m.

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