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MHT CET · Physics · Waves and Sound

The 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

  1. A \(\sqrt{\frac{3}{2}} \mathrm{n}\)
  2. B \(\frac{\sqrt{3}}{2} n\)
  3. C \(\frac{\mathrm{n}}{2 \sqrt{3}}\)
  4. D \(2 \sqrt{3} \mathrm{n}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{\mathrm{n}}{2 \sqrt{3}}\)

Step-by-step Solution

Detailed explanation

\(n = \frac{1}{2L} \sqrt{\frac{T}{\mu}}\) \(\mu \propto d^2\)