calculate the Rydberg constant R if he+ ions are known to have the wavelength difference between the first lines of balmer and Lyman series equal to 133.7 nm
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Answer:
The answer is 1.09 X 10^7 m^-1
Explanation:
The wavelength of the first line of Balmer series
1/λ1 = Rz(1/2^2 - 1/3^2)
λ1 = 9/5R
The wavelength of the first line of Liman series
1/λ2 = Rz(1/1^2 - 1/2^2)
λ2 = 1/3R
Δλ = λ1 - λ2
= 9/5R - 1/3R
= 27 -5 /15R
= 22/15R
R = 22 /15 x 133.7 x 10^-9
R = 0.0109 X 10^9
R = 1.09 X 10^7 m^-1
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