Question:medium

When a string of length 'l' is divided into three segments of length $l_{1}$, $l_{2}$ and $l_{3}$, the fundamental frequencies of three segments are $n_{1}$, $n_{2}$ and $n_{3}$ respectively. The original fundamental frequency 'n' of the string is

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Logic Tip: This is similar to calculating equivalent resistance for resistors in parallel, but applied to frequency and length.
Updated On: Apr 28, 2026
  • $n=n_{1}+n_{2}+n_{3}$
  • $\sqrt{n}=\sqrt{n_{1+\sqrt{n_{2+\sqrt{n_{3$
  • $\frac{1}{n}=\frac{1}{n_{1+\frac{1}{n_{2+\frac{1}{n_{3$
  • $\frac{1}{\sqrt{n=\frac{1}{\sqrt{n_{1}+\frac{1}{\sqrt{n_{2}+\frac{1}{\sqrt{n_{3}$
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The Correct Option is C

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