मराठी

Calculate the shortest wavelength of electromagnetic radiation present in Balmer series of hydrogen spectrum. - Physics (Theory)

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प्रश्न

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

Calculate the shortest wavelength of Balmer series.

संख्यात्मक
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उत्तर

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

`1/lambda = R [1/n_f^2 - 1/n_i^2]`

`1/lambda = R(1/(2)^2 -0)`

`1/lambda = R/4`

∴ `lambda = 4/"R"`

∴ R = 1.097 × 107 m−1

` = 4/(1.097 xx 10^7)  m`    

` = 3.646 xx 10^-7 m`

= 3646 Å

= 364 nm

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