MHT CET · Physics · Waves and Sound
Fundamental frequency of sonometer wire is ' n '. If the tension and length are increased 3 times and diameter is increased twice, the new frequency will be
- A \(2 n\)
- B \(\frac{\sqrt{3}}{2} n\)
- C \(\frac{\mathrm{n}}{2 \sqrt{3}}\)
- D \(\sqrt{3} n\)
Answer & Solution
Correct Answer
(C) \(\frac{\mathrm{n}}{2 \sqrt{3}}\)
Step-by-step Solution
Detailed explanation
\( n' = n \left( \frac{L}{3L} \right) \left( \frac{d}{2d} \right) \sqrt{\frac{3T}{T}} \) \( n' = n \left( \frac{1}{3} \cdot \frac{1}{2} \right) \sqrt{3} = \frac{n\sqrt{3}}{6} = \frac{n}{2\sqrt{3}} \)
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