A string fixed at one end is vibrating in its second overtone. The length of the string is $10\ cm$ and maximum amplitude of vibration of particles of the string is $2\ mm$ . Then the amplitude of the particle at $9\ cm$ from the open end is
A string fixed at one end is vibrating in its second overtone. The length of the string is $10\ cm$ and maximum amplitude of vibration of particles of the string is $2\ mm$ . Then the amplitude of the particle at $9\ cm$ from the open end is
- A
$\sqrt 3\ mm$
- B
$\sqrt 2\ mm$
- C
$\frac{{\sqrt 3 }}{2}\ mm$
- D
None of these
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- [IIT 2014]
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