Waves - Result Question 39

41. 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) $10 Hz$

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Answer:

Correct Answer: 41. (a)

Solution:

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

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

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

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

Which is the fundamental frequency of system of closed organ pipe.