Calculate the wavelength for the transition of a hydrogen atom from n=3 to n=2 u

Question

Calculate the wavelength for the transition of a hydrogen atom from n=3 to n=2 using the Rydberg equation. Calculate the % difference between the value you calculate and the value observed for the red line from hydrogen discharge tube (which is 660 nm) Calculate the wavelength for the transition of a hydrogen atom from n=3 to n=2 using the Rydberg equation. Calculate the % difference between the value you calculate and the value observed for the red line from hydrogen discharge tube (which is 660 nm)

Explanation / Answer

Use Rydberg formula:

1/lambda = R* (1/n1^2 - 1/n2^2)
1/lambda = (1.097*10^7)*(1/2^2 - 1/3^2)
1/lambda = (1.097*10^7)*(1/4 - 1/9)
lambda = 6.56*10^-7 m
= 656 nm
Answer: 656 nm

% difference = (660 - 656) *100 / 660 = 0.61 %

Answer: 0.61 %

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