Question

The fundamental frequency of an air column in a pipe closed at one end is $100Hz$ . If the same pipe is open at both the ends, the frequencies produced in $Hz$ are

• A. 100, 200, 300, 400, .....
• B. 100, 300, 500, 700, .....
• C. 200, 300, 400, 500 ,....
• D. 200, 400, 600, 800, .....

Answer 1

Answer: (D)

For a closed pipe fundamental frequency $n_{1}=\frac{V}{4 L}=100Hz$
For an open pipe fundamental frequency $n'_{1}=\frac{V}{2 L}=2n_{1}=200 Hz$
In an open pipe, frequency produced will be integral multiple of the fundamental frequency.