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NEET 2014 (AIPMT) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from NEET 2014 (AIPMT)

Q101NEET 2014 · AIPMTEasy

Stationary Waves & Vibrating Strings

If n1, n2 and n3 are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by

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Answer: (a)

  1. Same tension and μ\mu: n∝1ln \propto \dfrac{1}{l}, so l=knl = \dfrac{k}{n}.
  2. l=l1+l2+l3⇒1n=1n1+1n2+1n3l = l_1 + l_2 + l_3 \Rightarrow \dfrac{1}{n} = \dfrac{1}{n_1} + \dfrac{1}{n_2} + \dfrac{1}{n_3}.
  3. So the answer is (a).
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