A tuning fork gives 4 beats with 50 cm length of a sonometer wire… - Vidyadip

MCQ

A tuning fork gives $4$ beats with $50 cm$ length of a sonometer wire. If the length of the wire is shortened by $1 cm$, the number of beats is still the same. The frequency of the fork is

✓
$396$
B
$400$
C
$404$
D
$384$

✓

Answer

Correct option: A.

$396$

a
$n \propto \frac{1}{l}$

$ \Rightarrow{n_1}{l_1} = {n_2}{l_2}$

$ \Rightarrow \,(n + 4)49 = (n - 4)50 \Rightarrow n = 396$

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