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QUESTION

# Use the Rydberg equation to calculate the wavelength in nanometers of the spectral line for which n2=6 and n1=3. Would we be expected to see the light corresponding to spectral line?

1/lambda = R_(oo)((1)/(n_1^(2))-(1)/(n_2^(2)))

R_oo is the Rydberg constant and has the value of

1.097 x 10^(7) m^(-1)

So :

(1)/(lambda) = 1.097 x 10^(7) ((1)/(3^3)-(1)/(6^2))

(1)/(lambda) = 9.15 x 10^5m^(-1)

lambda = 1.096 x 10^(-6)m

This is equal to 1096nm. The optical window, which our eyes can detect, is between ~400 - 700nm so we couldn't see this spectral line as it is in the near infra - red part of the spectrum.