Waves - Result Question 15

15. A standing wave having 3 nodes and 2 antinodes is formed between two atoms having a distance $1.21 \AA$ between them. The wavelength of the standing wave is

(a) $1.21 \AA$

(b) $2.42 \AA$

(c) $6.05 \AA$

(d) $3.63 \AA$

[1998]

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Answer:

Correct Answer: 15. (a)

Solution:

  1. (a) Let $\ell$ be length of string

$ \ell=(\frac{\lambda}{2}) 2 \Rightarrow \lambda=\ell $

Hence, the wave length of standing wave

$\Rightarrow \lambda=\ell=1.21 \AA$



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