Question

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

• A. $10Hz$
• B. $20Hz$
• C. $30Hz$
• D. $40Hz$

Answer 1

The correct option is B $20Hz$

For closed organ pipe,

Difference in successive frequencies is equal to twice of fundamental frequency

Difference in two frequencies$=260-220=40Hz$

$2f₀=40$

$f₀=40/2=20Hz.$

$\therefore$ the fundamental frequency of the system is $20Hz$

Hence,

option $B$ is correct answer.