Calculate the wavelength for the transition from n = 4 to n = 2, and state the name given to the spectroscopic series to which this transition belongs?

The wavelength for the transition from n = 4 to n = 2 is 486nm and the name  name given to the spectroscopic series belongs to The Balmer series.

Explanation

lets calculate -

Rydberg equation-  

where , is wavelength , R is Rydberg constant ( ), and are the quantum numbers of the energy levels. (where )

Now putting the given values in the equation,

    Wavelength

             = = 486nm

   Therefore , the wavelength is 486nm and it belongs to The Balmer series.

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