The shortest wavelength of the Brackett series of a hydrogen like atom (Atomic number = Z ) is the same as the shortest wavelength of the Balmer series of hydrogen atom. The value of Z is

Question

The shortest wavelength of the Brackett series of a hydrogen like atom (Atomic number = Z ) is the same as the shortest wavelength of the Balmer series of hydrogen atom. The value of Z is, 2, 3, 4, 6

MARKS App · Accepted Answer

Shortest wavelength corresponds to maximum energy therefore transitions are from infinity to n = 4 and n = 2 respectively. Z 2 13.6 16 = 13.6 4 Z 2 = 4 or Z = 2

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