Calculate the wavelength and frequency of …
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Posted by Vivek Kumar 6 years, 9 months ago
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Gaurav Seth 6 years, 9 months ago
As said by Namrata, the limiting wavelength in the Lyman series can be calculated by using the Rydberg formula. The Rydberg formula is given as
For the Lyman series, n1 = 1 and n2 = 2,3....
The above formula can be further simplified as
1 / λ = (R H / hc) [(1/ n12 ) - (1/ n22 )]
Therefore for the limiting wavelength, n2 will be ∞, so ( 1 / n2) will be zero. The Rydberg Formula will now be
1 / λ = (R H / hc) [(1/ n12 )]
Now RH has the value of 2.18X10–18 J, h that is Planck's constant has the value of 6.63 X 10-34 Js, c that is the speed of light has the value 3 X 108 ms-1 and n1has the value 1. Substituting these values in the above relation and solving for λ, we get
λ = 9.12 X 10-8 m.
So the limiting wavelength will be 9.12 X 10-8 m.
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