AP EAMCET · PHYSICS · Waves and Sound
An object of density \(2000 \mathrm{~kg}-\mathrm{m}^{-3}\) is hung from a thin light wire. The fundamental frequency of the transverse waves in the wire is \(200 \mathrm{~Hz}\). If the object is immersed in water such that half of its volume is submerged, then the fundamental frequency of the transverse waves in the wire is
- A 200 Hz
- B 173.2 Hz
- C 100 Hz
- D 141.4 Hz
Answer & Solution
Correct Answer
(B) 173.2 Hz
Step-by-step Solution
Detailed explanation
Fundamental frequency, initially \[ n_1=\frac{1}{2 l} \sqrt{\frac{T}{\mu}}=\frac{1}{2 l} \sqrt{\frac{V g(2000)}{\mu}} \] Fundamental frequency, finally \[ n_2=\frac{1}{2 l} \sqrt{\frac{V g\left(2000-\frac{1000}{2}\right)}{\mu}} \] (here we applied loss of weight due to upthrust)…
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