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  • An air column in a pipe, which is closed at one end, is in resonance with a Vibrating tunning fork of frequency  264 Hz. If  v=330 m/s, the length of the column (l) cm is &

An air column in a pipe, which is closed at one end, is in resonance with a Vibrating tunning fork of frequency  264 Hz. If  v=330 m/s, the length of the column (l) cm is

 

Option: 1

31.25


Option: 2

62.50


Option: 3

93.75


Option: 4

125


Answers (1)

best_answer

f=n\left(\frac{v}{4 l}\right) \quad(n=1,3,5, \ldots) \\

\therefore \quad l=\frac{n v}{4 f}=n\left(\frac{330}{4 \times 264}\right) \\

=(0.3125 n) \mathrm{m} \\

=(31.25 \mathrm{n}) \mathrm{cm}     [\because 1 \mathrm{~m} =100 \,\,cm]

Now, keep on substituting  n=1,3  etc we have.

l=31.15 \times 1=31.25 \mathrm{~cm} \\

l=31.25 \times 3=93.75 \mathrm{~cm} .
 

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Sayak

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