Question

A string is cut into three parts, having fundamental frequencies n1, n2, and n3 respectively. Then original fundamental frequency ‘n’ related by the expression as:

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

Answer 1

Answer: (A)

$\frac 1n=\frac {1}{n_1} + \frac {1.}{n_2}+\frac {1}{n_3}$

Answer 2

$l=l_1+l_2+l_3$

$\frac kn=\frac {k}{n_1} + \frac {k}{n_2}+\frac {k}{n_3}$

⇒ $\frac 1n=\frac {1}{n_1} + \frac {1.}{n_2}+\frac {1}{n_3}$

So, the correct option is (A).