A stretched string of length \( 1 \mathrm{~m} \) fixed at both ends, having a mass of \( 5 \time...

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A stretched string of length \( 1 \mathrm{~m} \) fixed at both ends, having a mass of \( 5 \times 10^{-4} \mathrm{~kg} \) is under a tension of \( 20 \mathrm{~N} \). It is plucked at a point situated at \( 25 \mathrm{~cm} \) from one end. The stretched string would vibrate with a frequency of
(1) \( 400 \mathrm{~Hz} \)
(2) \( 100 \mathrm{~Hz} \)
(3) \( 200 \mathrm{~Hz} \)
(4) \( 256 \mathrm{~Hz} \)
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