Wave Motion 2 Question 34

34. Velocity of sound in air is $320 m / s$. A pipe closed at one end has a length of $1 m$. Neglecting end corrections, the air column in the pipe can resonate for sound of frequency

$(1989,2 M)$

(a) $80 Hz$

(b) $240 Hz$

(c) $320 Hz$

(d) $400 Hz$

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Answer:

Correct Answer: 34. (a, b, d)

Solution:

  1. For closed pipe, $f=n\left(\frac{v}{4 l}\right) n=1,3,5 \ldots$

For $n=1, \quad f _1=\frac{v}{4 l}=\frac{320}{4 \times 1}=80 Hz$

For $n=3, \quad f _3=3 f _1=240 Hz$

For $n=5, \quad f _5=5 f _1=400 Hz$

$\therefore$ Correct options are (a), (b) and (d).



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