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Calculate the Shortest Wavelength of Electromagnetic Radiation Present in Balmer Series of Hydrogen Spectrum. - Physics (Theory)

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Question

Calculate the shortest wavelength of electromagnetic radiation present in Balmer series of hydrogen spectrum.

Sum

Solution

For shortest wavelength in Balmer series nf = 2, n1 = ∞

`1/lambda = "R" [1/"n"_"f"^2 - 1/"n"_"i"^2]`

`1/lambda = "R" [1/4]`

`therefore lambda = 4/"R"`

`= 4/(1.097 xx 10^7) "m"`

`= 3.646 xx 10^-7"m"`

= 3646 Å

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