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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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प्रश्न

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.

योग
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उत्तर

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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