Tuning fork F_1 has a frequency of 256 Hz and it is observed to p… - Vidyadip

MCQ

Tuning fork ${F_1}$ has a frequency of $256 Hz$ and it is observed to produce $6$ beats/second with another tuning fork ${F_2}$. When ${F_2}$ is loaded with wax, it still produces $6$ beats/second with ${F_1}$. The frequency of ${F_2}$ before loading was ..... $Hz$

A
$253$
✓
$262$
C
$250 $
D
$259$

✓

Answer

Correct option: B.

$262$

b
(b) $n_A$ = Known frequency $= 256 Hz, n_B = ?$

$x = 6\, bps$, which remains the same after loading.

Unknown tuning fork $F_2$ is loaded so $n_B\downarrow$

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

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

==> $n-B = n_A + x = 256 + 6 = 262 Hz.$

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