When a tuning fork of frequency 341 is sounded with another tunin… - Vidyadip

MCQ

When a tuning fork of frequency $341$ is sounded with another tuning fork, six beats per second are heard. When the second tuning fork is loaded with wax and sounded with the first tuning fork, the number of beats is two per second. The natural frequency of the second tuning fork is

A
$334$
B
$339$
C
$343$
✓
$347$

✓

Answer

Correct option: D.

$347$

d
(d) $n_A =$ Known frequency $= 341\, Hz,$ $n_B = ? $

$x = 6\, bps,$ which is decreasing (i.e. $x\downarrow$)

after loading (from $6$ to $1\, bps$)

Unknown tuning fork is loaded so $n_B\downarrow$

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

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

$\Rightarrow$$n_B = n_A + x = 341 + 6 = 347 Hz.$

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