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JIPMER 2016
Exam
JIPMER
Year
2016
Subject
Chemistry
Chapter
Structure of Atom

JIPMER 2016 · Chemistry · Structure of Atom

What will be the number of waves formed by a Bohr electron in one...

What will be the number of waves formed by a Bohr electron in one complete revolution in its second orbit?

Options

  1. Athree
  2. BTwo
  3. COne
  4. DZero

Correct answer

B. Two

Step-by-step solution

Number of waves = Circumeference of orbit  de − Broglie wavelength of electron =\frac{\text{ Circumeference of orbit }}{\text{ de }- \text{ Broglie wavelength of electron }} But, λ=hmv\lambda=\frac{h}{m v} So, λ=2πr×μh=2πn×mvr\lambda=\frac{2 \pi r \times \mu}{h}=\frac{2 \pi}{n} \times m v r but mvr=nh2π=2πh×nh2πmvr=n\begin{aligned} m v r & =\frac{n h}{2 \pi}=\frac{2 \pi}{h} \times \frac{n h}{2 \pi} \\ m v r & =n\end{aligned} For second orbit, n=2∴n=2 \therefore Number of waves =2=2
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