A tuning fork and a sonometer wire were sounded together and produce 4 beats per second. When length

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14.Waves and Sound

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A tuning fork and a sonometer wire were sounded together and produce $4$ beats per second. When the length of sonometer wire is $95 cm$ or $100 cm,$ the frequency of the tuning fork is ..... $Hz$

A

$156$

B

$152$

C

$148$

D

$160$

Solution

(a) Probable frequencies of tuning fork be $n + 4$ or $n – 4$

Frequency of sonometer wire $n \propto \frac{1}{l}$.

$\therefore $ $\frac{{n + 4}}{{n – 4}} = \frac{{100}}{{95}}$ or $95\,(n + 4) = 100(n – 4)$

or $95n + 380 = 100n – 400$ or $5n = 780$ or $n = 156$

Standard 11

Physics

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