Question:medium
When a string is divided into three segments of length \(l_1, l_2,\) and \(l_3\), the fundamental frequencies of these three segments are \(v_1, v_2,\) and \(v_3\) respectively. The original fundamental frequency of the string is:
When a string is divided into three segments of length \(l_1, l_2,\) and \(l_3\), the fundamental frequencies of these three segments are \(v_1, v_2,\) and \(v_3\) respectively. The original fundamental frequency of the string is:
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For strings under same tension, frequency is inversely proportional to length.
Updated On: Mar 24, 2026
- \(\sqrt{v} = \sqrt{v_1} + \sqrt{v_2} + \sqrt{v_3}\)
- \(v = v_1 + v_2 + v_3\)
- \(\dfrac{1}{v} = \dfrac{1}{v_1} + \dfrac{1}{v_2} + \dfrac{1}{v_3}\)
- \(\dfrac{1}{\sqrt{v}} = \dfrac{1}{\sqrt{v_1}} + \dfrac{1}{\sqrt{v_2}} + \dfrac{1}{\sqrt{v_3}}\)
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The Correct Option is C
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