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State Bohr’s quantisation condition of angular momentum. Calculate the shortest wavelength of the Brackett series and state to which part of the electromagnetic spectrum does it belong.

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Bohr’s quantisation condition: Only those orbits are permitted in which the angular momentum of the electron is an integral multiple of h/2π.

For Brackett Series.

Shortest wavelength is for the transition of electrons from

n1 = ∞ to nf = 4

Using the equation

Bohr’s quantisation condition

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