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  • A tuning fork A of unknown frequency produces 5 beats /swith a fork of known frequency 340Hz. When fork A is filled, the beat frequency decreases to 2 beats /s. What is the frquency of fork A? Option: 1 338 Hz Opt

A tuning fork A of unknown frequency produces 5 beats /swith a fork of known frequency 340Hz. When fork A is filled, the beat frequency decreases to 2 beats /s. What is the frquency of fork A?
Option: 1 338 Hz
Option: 2 345 Hz
Option: 3 335 Hz
Option: 4 342 Hz

Answers (1)

best_answer

\begin{aligned} &\text { Initially beat frequency }=5 \mathrm{~Hz}\\ &\text { so, } \rho_{\mathrm{A}}=340 \pm 5=345 \mathrm{~Hz} \text { , or } 335 \mathrm{~Hz} \end{aligned}
\text{so, new value of frequency of} \ \mathrm{A}>\rho_{\mathrm{A}}
Now, beat frequency = 2Hz
\begin{aligned} &\Rightarrow \text { new } \rho_{\mathrm{A}}=340 \pm 2=342 \mathrm{~Hz}, \text { or } 338 \mathrm{~Hz}\\ &\text { hence, original frequency of } \mathrm{A} \text { is } \rho_{\mathrm{A}}=335 \mathrm{~Hz} \end{aligned}

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Deependra Verma

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