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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Atomic Physics

NTA Abhyas 2020 · Physics · Atomic Physics

The shortest wavelength of the Brackett series of a hydrogen like...

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

Options

  1. A22
  2. B33
  3. C44
  4. D66

Correct answer

A. 22

Step-by-step solution

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

\left(Z^{2}\right) (13.616)\left(\dfrac{13.6}{16}\right) =\left(\dfrac{13.6}{4}\right)<br/><br/>br /><br />Z^{2} = 4ororZ = 2
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