Fundamental frequency of a sonometer wire is n . If length and diameter of wire are doubled keeping

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14.Waves and Sound

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Fundamental frequency of a sonometer wire is $n$ . If the length and diameter of the wire are doubled keeping the tension same, then the new fundamental frequency is

A

$\frac{n}{{\sqrt 2 }}$

B

$\frac{n}{{2\sqrt 2 }}$

C

$\sqrt 2 n$

D

$\frac{n}{4}$

Solution

$n = \frac{1}{{2l}}\,\sqrt {\frac{T}{{\pi {r^2}d}}} $

$n \propto \frac{1}{{rl}}$

Standard 11

Physics

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