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Vibration of strings - fundamental frequency and length
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- Vibration of strings - fundamental frequency and length
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2020 Phase-2 1 question
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The length of the string of a musical instrument is 90 cm and has a fundamental frequency of 120 Hz. Where should it be pressed to produce fundamental frequency of 180 Hz?For a stretched string, fundamental frequency $f\propto\dfrac{1}{l}$ (same tension and mass per unit length), so $f_1l_1=f_2l_2\Rightarrow120\times90=180\times l_2\Rightarrow l_2=60$ cm.
