Waves Ques 35

35. The two nearest harmonics of a tube closed at one end and open at other end are $220 Hz$ and $260 Hz$. What is the fundamental frequency of the system?

[2017]

(a) $20 Hz$

(b) $30 Hz$

(c) $40 Hz$

(d) $10 Hz$

Show Answer

Answer:

Correct Answer: 35.(a)

Solution:

  1. (a) Difference in two successive frequencies of a closed pipe,

$\frac{2 v}{4 l} \Rightarrow 260-220=40$ Hz

or $\frac{2 v}{4 l}=40\ \text{Hz}$

$\Rightarrow \frac{v}{4 \ell}=20 \text{ Hz}$

What is the fundamental frequency of a system of a closed organ pipe.



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