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BITSAT 2020
Exam
BITSAT
Year
2020
Subject
Chemistry
Chapter
Structure of Atom

BITSAT 2020 · Chemistry · Structure of Atom

What is the maximum wavelength line in the Lyman series of He^ +...

What is the maximum wavelength line in the Lyman series of He+\mathrm{He}^{+} ion?

Options

  1. A3R3 R
  2. B1R\frac{1}{\mathrm{R}}
  3. C13R\frac{1}{3 R}
  4. DNone of these

Correct answer

C. 13R\frac{1}{3 R}

Step-by-step solution

1λ=RZ2[1n12−1n22]=R×22[1\mathrml2−122]⇒3R;λ=13R\frac{1}{\lambda}=\mathrm{RZ}^{2}\left[\frac{1}{\mathrm{n}_{1}^{2}}-\frac{1}{\mathrm{n}_{2}^{2}}\right]=\mathrm{R} \times 2^{2}\left[\frac{1}{\mathrml^{2}}-\frac{1}{2^{2}}\right]\Rightarrow 3 \mathrm{R} ; \lambda=\frac{1}{3 \mathrm{R}}
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