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The short wavelength limit for the Lyman series of the hydrogen spectrum is 913.4 Å. - Physics

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Question

The short wavelength limit for the Lyman series of the hydrogen spectrum is 913.4 Å. Calculate the short wavelength limit for the Balmer series of the hydrogen spectrum.

Sum

Solution

Given short wavelength limit of the Lyman series

`1/λ_"L" = "R"(1/1^2 - 1/∞)`

`1/(913.4  Å) = "R"(1/1^2 - 1/∞)`

λL = `1/"R"` = 913.4 Å

For the short wavelength limit of Balmer series

n1 = 2, n2 = ∞

`1/λ_"B" = "R"(1/2^2 - 1/∞)`

λB = `4/"R"`

= 4 × 913.4 Å

= 3653.6 Å

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