The equation for the vibration of a string fixed at both ends vibrating in its third harmonic is...

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The equation for the vibration of a string fixed at both ends vibrating in its third harmonic is given
P by

W
\[
y=2 \mathrm{~cm} \sin \left[\left(0.6 \mathrm{~cm}^{-1}\right) \mathrm{x}\right] \cos \left[\left(500 \pi \mathrm{s}^{-1}\right) \mathrm{t}\right]
\]
The length of the string is-
(1) \( 24.6 \mathrm{~cm} \)
(2) \( 12.5 \mathrm{~cm} \)
(3) \( 20.6 \mathrm{~cm} \)
(4) \( 15.7 \mathrm{~cm} \)
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