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NEET 2000 (AIPMT) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from NEET 2000 (AIPMT)

Q112NEET 2000 · AIPMTEasy

Stationary Waves & Vibrating Strings

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

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Answer: (a)

For the same string material and tension, $n \propto \dfrac{1}{l}$ , so $l = \dfrac{k}{n}$ .
$l = l_1 + l_2 + l_3 \Rightarrow \dfrac{1}{n} = \dfrac{1}{n_1} + \dfrac{1}{n_2} + \dfrac{1}{n_3}$ .
So the answer is (a).

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