Sound WavesHard

Question

Length of a sonometer wire is either 95 cm or 100 cm. In both the cases a tuning fork produceses 4 beats then the frequency of tuning fork is : -

Options

A.152
B.156
C.160
D.164

Solution

For sonometer wire
n × 100 = (n + 1) × 95
n = no of harmonics
⇒ n = 19
∴ f = 19 + 4 = 20  - 4 ⇒ L = 16
⇒ f = 20 - 4 = 156 Hz

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