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Question: Answered & Verified by Expert
A standing wave having 3 nodes and 2 antinodes is formed between two atoms having a distance $1.21 Å$ Å between them. The wavelength of the standing wave is
PhysicsElectrostaticsMHT CETMHT CET 2007
Options:
  • A $1.21 Å$
  • B $1.42 Å$
  • C $6.05 Å$
  • D $3.63 Å$
Solution:
2122 Upvotes Verified Answer
The correct answer is: $1.21 Å$
Key Idea The given standing wave has 2 segments.

The given standing wave is shown in the figure.


As length of one loop or segment is $\frac{\lambda}{2}$, so length of 2 segments is $2\left(\frac{\lambda}{2}\right)$. $\therefore \quad 2 \frac{\lambda}{2}=1.21 Å$
$\Rightarrow \quad \lambda=1.21 Å$

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