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AIIMS 201925 May
Exam
AIIMS
Year
2019
Date
25 May
Subject
Chemistry
Chapter
Structure of Atom

AIIMS 2019 · 25 May · Chemistry · Structure of Atom

If n=2 for He^ + ion then find out the wave length.

If n=2n=2 for He+\mathrm{He}^{+}ion then find out the wave length.

Options

  1. A3.32A˚3.32 Å
  2. B6.42A˚6.42 Å
  3. C1.47A˚1.47 Å
  4. D2.37A˚2.37 Å

Correct answer

A. 3.32A˚3.32 Å

Step-by-step solution

 2πr=nλ2π×0.529×n2Z=nλλ=2π×0.529×nZ=2×3.14×0.529×22λ=3.32A˚\begin{aligned} & \text{ } 2 \pi r=n \lambda \\ & 2 \pi \times 0.529 \times \frac{n^2}{Z}=n \lambda \\ & \lambda=\frac{2 \pi \times 0.529 \times n}{Z}=\frac{2 \times 3.14 \times 0.529 \times 2}{2} \\ & \lambda=3.32 Å\end{aligned}
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