A string \( 2.0 \mathrm{~m} \) long and fixed at its ends is driven...

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A string \( 2.0 \mathrm{~m} \) long and fixed at its ends is driven by a \( 240 \mathrm{~Hz} \) vibrator. The string vibrates in its third harmonic
\( \mathrm{P} \) mode. The speed of the wave and its fundamental

W frequency is
[JEE (Main) 2019]
(a) \( 320 \mathrm{~m} / \mathrm{s}, 120 \mathrm{~Hz} \)
(b) \( 180 \mathrm{~m} / \mathrm{s}, 80 \mathrm{~Hz} \)
(c) \( 180 \mathrm{~m} / \mathrm{s}, 120 \mathrm{~Hz} \)
(d) \( 320 \mathrm{~m} / \mathrm{s}, 80 \mathrm{~Hz} \)
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