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A uniform wire of cross-sectional area \( 1 \mathrm{~mm}^{2} \) and length \( 60 \mathrm{~cm} \) made of steel (density \( 8000 \mathrm{~kg} / \mathrm{m}^{3} \) )
\( P \) is tied at both ends under a tension of \( 80 \mathrm{~N} \). W. Transverse vibrations of frequency \( 500 \mathrm{~Hz} \) will be predominant if the wire is plucked at
(1) \( 15 \mathrm{~cm} \) and held at \( 30 \mathrm{~cm} \).
(2) \( 10 \mathrm{~cm} \) and held at \( 20 \mathrm{~cm} \).
(3) \( 20 \mathrm{~cm} \) and held at \( 40 \mathrm{~cm} \).
(4) \( 5 \mathrm{~cm} \) and held at \( 10 \mathrm{~cm} \).
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