First slide

Beats

Question

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 (in Hz)

Easy

A

396
B

400
C

404
D

384

Solution

$n \propto \frac{1}{l} \Rightarrow n_{1} l_{1} = n_{2} l_{2} \Rightarrow (n + 4) 49 = (n - 4) 50 \Rightarrow n = 396$

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