Two tuning forks A and B produce $$10$$ beats per second when sounded together. On slightly loading fork A with a little wax, it was observed that $$15$$ beats are heard per second. If the frequency of fork B is $$480$$ Hz. what is the frequency of fork A (in$$ $$Hz) before it was loaded?

Question

Infinity Learn · Accepted Answer

Let $$v1$$ be the frequency of A and $$v2$$ that of fork B.There are two possibilities (a) $$v1$$ > $$v2$$ and (b) $$v1$$ < $$v2$$. (a) $$v1$$>$$v2$$:$$v2=480Hz$$,$$vb=10HzNow$$, $$vb=v1$$−$$v2$$∴ $$v1=v2+vb=480+10=490HzOn$$ loading fork A its frequency decreases. In other words, $$v1$$ decreases.∴$$v1$$−$$v2=vb$$ should also decrease. But vb increase to $$15$$ $$beats/s$$. Hence $$v1$$ is not greater than $$v2$$. (b)  $$v1$$

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Two tuning forks A and B produce 10 beats per second when sounded together. On slightly loading fork A with a little wax, it was observed that 15 beats are heard per second. If the frequency of fork B is 480 Hz. what is the frequency of fork A (in Hz) before it was loaded?

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