A string of length \( \mathrm{L} \) fixed at both ends is vibrating...

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A string of length \( \mathrm{L} \) fixed at both ends is vibrating in lowest mode of its vibration for
\( \mathrm{P} \) which particle at \( \mathrm{x}=\mathrm{L} / 6 \) from one end is having maximum displacement. The frequency of W vibration of this mode is \( 120 \mathrm{~Hz} \). For this situation, mark out INCORRECT statement(s):
(1) The particle at \( \mathrm{x}=\mathrm{L} / 2 \) will have maximum displacement
(2) The given mode is 2 nd overtone
(3) The next higher overtone for which same particle at \( \mathrm{x}=\mathrm{L} / 6 \) has maximum displacement is 6th one
(4) The next higher overtone for which same particle at \( \mathrm{x}=\mathrm{L} / 6 \) has maximum displacement is 8 th one
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