When a string is divided into three segments of length $l_1,\,l_2$ and $l_3,$ the fundamental frequencies of these three segments are $v_1,\,v_2$ and $v_3$ respectively. The original fundamental frequency $(v)$ of the string is
When a string is divided into three segments of length $l_1,\,l_2$ and $l_3,$ the fundamental frequencies of these three segments are $v_1,\,v_2$ and $v_3$ respectively. The original fundamental frequency $(v)$ of the string is
- A
$\frac{1}{v} = \frac{1}{{{v_1}}} + \frac{1}{{{v_2}}} + \frac{1}{{{v_3}}}$
- B
$\frac{1}{{\sqrt v }} = \frac{1}{{\sqrt {{v_1}} }} + \frac{1}{{\sqrt {{v_2}} }} + \frac{1}{{\sqrt {{v_3}} }}$
- C
$\sqrt v = \sqrt {{v_1}} + \sqrt {{v_2}} + \sqrt {{v_3}} $
- D
$v = v_1 + v_2 + v_3$
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