COMEDK · Physics · 16. Waves and Sound
A sonometer wire of length 80 cm and a tuning fork sounded together produces 5 beats per second. The same number of beats per second is produced when the length of the wire is increased to 85 cm . What is the frequency of the tuning fork?
- A 170 Hz
- B 165 Hz
- C 825 Hz
- D 160 Hz
Answer & Solution
Correct Answer
(B) 165 Hz
Step-by-step Solution
Detailed explanation
Let \(f\) be the frequency of the tuning fork and \(f_1, f_2\) be the frequencies of the sonometer wire at lengths \(l_1 = 80\) cm and \(l_2 = 85\) cm respectively. The frequency of a sonometer wire is given by \(f = \dfrac{1}{2l} \sqrt{\dfrac{T}{\mu}}\), which implies…
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