# 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? Option 1) 10 Hz Option 2) 20 Hz Option 3) 30 Hz Option 4) 40 Hz

As we discussed in

The frequency in open organ pipe -

$\nu = n\cdot \frac{V}{2l}$

$n= 1,2,3.......$

- wherein

$V=$ velocity of sound wave

$l=$ length of pipe

$n=$ number of overtones

Nearest harmonies of an organ pipe closed of one and is doffer by twice of its fundamental frequency

$\therefore 260-220=2v$

$v=20Hz$

Option 1)

10 Hz

Incorrect option

Option 2)

20 Hz

Correct option

Option 3)

30 Hz

Incorrect option

Option 4)

40 Hz

Incorrect option

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