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The series of hydrogen spectral lines with nf = 4 is called Brackett series. Compute the...

The series of hydrogen spectral lines with nf = 4 is called Brackett series. Compute the wavelengths of the first four lines of the Brackett series.

Please answer clearly and in detail, thanks.

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Answer #1

The spectral lines for the Brackett series are formed when excited electrons of hydrogen fall to the 4th exited state from higher excited states (5,6,7,...).

The inverse of the wavelength of the photon emitted when a hydrogen electron falls from the nth state (n>4) to the 4th state is given by the formula

Where,

So, we can use equation (1) to calculate the wavelengths of the first four lines of the Brackett series. They are calculated below.

First Line: n=5

Second Line: n=6

Third Line: n=7

Fourth Line: n=8

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