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JEE Mains · Physics · STD 11 - 14. waves and sound
\(5\, beats/ second\) are heard when a turning fork is sounded with a sonometer wire under tension, when the length of the sonometer wire is either \(0.95\,m\) or \(1\,m\) . The frequency of the fork will be ... \(Hz\)
- A \(195\)
- B \(251\)
- C \(150\)
- D \(300\)
Answer & Solution
Correct Answer
(A) \(195\)
Step-by-step Solution
Detailed explanation
Probable frequencies of tuning fork be \(n \pm5\) Frequency of sonometer wire, \(n \propto \frac{1}{l}\) \(\therefore \frac{n+5}{n-5}=\frac{100}{95} \Rightarrow 95(n+5)=100(n-5)\) or, \(95 n+475=100 n-500\) or, \(5 n=975\) or, \(n=\frac{975}{5}=195 \mathrm{Hz}\)
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