Question

A string is cut into three parts, having fundamental frequencies $n_1,n_2,n_3$ respectively. Then original fundamental frequency n related by the expression as

• A. $\frac{1}{n}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}$
• B. $n=n_1\times n_2\times n_3$
• C. $n=n_1+ n_2+ n_3$
• D. $n=\frac{n_1+ n_2+ n_3}{3}$

Answer 1

Answer: (A)

As $n \propto (1/l)$ and $l=l_1+l_2+l_3$
$\therefore \frac{1}{n}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}$.