calculate the wavelength of mini energy transition in the Balmer series of hydrogen spectra
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The ratio of maximum and minimum wavelength in Balmer series is 5:9.
The Balmer series is the set of six named series describing the spectral line emissions of the total hydrogen atoms. The lines are emitted when the electron present in the hydrogen atom transits from n = 3 or greater orbital down to n = 2 orbital. Thus,
According to the equation of balmer series -
1λ = R ( 1/n²1 - 1/ n²2)
= λmin/ λmax = ( 1/2² - 1/3²) / ( 1/2² - 1/∞²)
= 5/9
Hence, The ratio of minimum to maximum wavelength in Balmer series is 5:9.
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