Waves Ques 9
9. 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
[1998]
(a) $1.21 $ $\AA$
(b) $2.42$ $ \AA$
(c) $6.05$ $ \AA$
(d) $3.63$ $ \AA$
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Answer:
Correct Answer: 9.(a)
Solution:
- (a) Let $\ell$ be the length of the string
$ \ell=(\frac{\lambda}{2}) \cdot 2 \Rightarrow \lambda=\ell $
Hence, the wavelength of a standing wave
$\Rightarrow \lambda=\ell=1.21$ $ \AA$
BETA
