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JEE Mains · Physics · STD 11 - 14. waves and sound
A sonometer wire of length \(114\, cm\) is fixed at both the ends. Where should the two bridges be placed so as to divide the wire into three segments whose fundamental frequencies are in the ratio \(1 : 3 : 4\) ?
- A At \(36\, cm\) and \(84\, cm\) from one end
- B At \(24\, cm\) and \(72\, cm\) from one end
- C At \(48\, cm\) and \(96\, cm\) from one end
- D At \(72\, cm\) and \(96\, cm\) from one end
Answer & Solution
Correct Answer
(D) At \(72\, cm\) and \(96\, cm\) from one end
Step-by-step Solution
Detailed explanation
Total length of the wire, \(L=114 \mathrm{cm}\) \(\mathrm{n}_{1}: \mathrm{n}_{2}: \mathrm{n}_{3}=1: 3: 4\) Let \(L_{1}, L_{2}\) and \(L_{3}\) be the lengths of the three parts As \(n \propto \frac{1}{L}\)…
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