First slide

Sonometer

Question

A string oscillating at fundamental frequency under a tension of 225 N produces 6 beats per second with a sonometer. If the tension is 256 N, then again oscillating at fundamental note it produces 6 beats per second with the same sonometer. What is the frequency of the sonometer ?

Easy

A

256
B

225
C

280
D

186

Solution

Let the frequency of sonometer be n. As nis proportional to $\sqrt{T}$
$n - 6 \Rightarrow \sqrt{225} and n + 6 \Rightarrow \sqrt{256} ∴ \frac{n - 6}{n + 6} = \frac{15}{16} or n = 186$

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