When a string is divided into three segments of length \ell_{1},\ell_{2}, and \ell_{3} the fundamental frequencies of these three segments are v1, v2 and v3 respectively. The original fundamental frequency (v) of the string is

  • Option 1)

    \sqrt{\text{v}}=\sqrt{\text{v}_{1}}+\sqrt{\text{v}_{2}}+\sqrt{\text{v}_{3}}

  • Option 2)

    v = v1+ v+ v3

  • Option 3)

    \frac{1}{\text{v}}=\frac{1}{\text{v}_{1}}+\frac{1}{\text{v}_{2}}+\frac{1}{\text{v}_{3}}

  • Option 4)

 

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