A tuning fork sounded together with a tuning fork of frequency $256$ emits two beats. On loading the tuning fork of frequency $256,$ the number of beats heard are $1$ per second. The frequency of tuning fork is
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(d) $n_A $= Known frequency $= 256,$ $n_B = ?$

$x = 2\, bps,$ which is decreasing after loading (i.e. $x\, \downarrow$) known tuning fork is loaded so $n_A \,\downarrow$ 

Hence $n_A\downarrow -n_B = x\downarrow$ ... $(i)$ $\rightarrow $ Correct 

$n_B -n_A \downarrow= x\downarrow$ ... $(ii)$ $\rightarrow $ Wrong 

==> $n_B = n_A -x = 256 -2 = 254 Hz.$

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