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  • A sonometer wire when vibrated in full length has frequency n. Now, it is divided by the help of bridges into a number of segments of lengths <img alt="l_1, l_2, l_3,...." src="https://entranc

A sonometer wire when vibrated in full length has frequency n. Now, it is divided by the help of bridges into a number of segments of lengths l_1, l_2, l_3,.... . When vibrated, these segments have frequency n_1, n_2, n_3,..... Then

Option: 1

n=n_1-n_2-n_3-\cdots


Option: 2

n^2=n_1^2-n_2^2-n_3^2 \cdots


Option: 3

\frac{1}{n}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}+\cdots


Option: 4

\frac{1}{n^2}=\frac{1}{n_1^2}+\frac{1}{n_2^2}+\frac{1}{n_3^2}+\cdots .


Answers (1)

best_answer

\begin{aligned} & Use,\ n \propto \frac{1}{l} \text { or } n l=k \text { (Constant) } \\ & \therefore\ l=l_1+l_2+l_3+\cdots \\ & \frac{k}{n}=\frac{k}{n_1}+\frac{k}{n_2}+\frac{k}{n_3}+\cdots \\ & \frac{1}{n}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}+\cdots \quad \end{aligned}

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Ritika Harsh

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