A tuning fork of frequency $$100$$ when sounded together with another tuning fork of unknown frequency produces $$2$$ beats per second. On loading the tuning fork whose frequency is not known and sounded together with a tuning fork of frequency $$100$$ produces one beat, then the frequency of the other tuning fork is

Question

Infinity Learn · Accepted Answer

Suppose nA $$=$$ known frequency $$=$$ $$100$$ Hz, nB $$=$$ ?x $$=$$ $$2$$ $$=$$ Beat frequency, which is decreasing after loading (i$$.e. x↓$$) Unknown tuning fork is loaded so nB↓ Hence nA – nB ↓ $$=$$ x↓        ... (i)        →       Wrong            nB ↓ – nA $$=$$ x↓       ... (ii)        →       Correct⇒ nB $$=$$ nA $$+$$ x $$=$$ $$100$$ $$+$$ $$2$$ $$=$$ $$102$$ Hz.

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