When a tuning fork $A$ of unknown frequency is sounded with another tuning fork $B$ of frequency $256 Hz$, then $3$ beats per second are observed. After that $A$ is loaded with wax and sounded, the again $3$ beats per second are observed. The frequency of the tuning fork $A$ is ..... $Hz$
Medium
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(c) It is given that
$n_A $= Unknown frequency $= ?$
$n_B$ = Known frequency $= 256 Hz$
$x = 3 bps,$ which remains same after loading
Unknown tuning fork $A$ is loaded so $nA\downarrow $
Hence $ n_A\downarrow-n_B = x$ ... (i) $\rightarrow$ Correct
$n_B -n_A\downarrow = x$ ... (ii) $\rightarrow$ Wrong
$\rightarrow$ $ n_A = n_B + x = 256 + 3 = 259 Hz.$
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