If $n _{1}, n_{2}$ and $n _{3}$ are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency $n$ of the string is given by

  • [AIPMT 2012]
  • [AIPMT 2014]
  • A

    $n=n_{1}+n_{2}+n_{3}$

  • B

    $\sqrt{n}=\sqrt{n_{1}}+\sqrt{n_{2}}+\sqrt{n_{3}}$

  • C

    $\frac{1}{n}=\frac{1}{n_{1}}+\frac{1}{n_{2}}+\frac{1}{n}$

  • D

    $\frac{1}{\sqrt{n}}=\frac{1}{\sqrt{n}}+\frac{1}{\sqrt{n_{2}}}+\frac{1}{\sqrt{n_{3}}}$

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  • [AIPMT 1995]

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