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

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, .....

Tardigrade Admin · Accepted Answer

For a closed pipe fundamental frequency

n_{1} = \frac{V}{4 L} = 100 Hz

For an open pipe fundamental frequency

n_{1}^{'} = \frac{V}{2 L} = 2 n_{1} = 200 Hz

In an open pipe, frequency produced will be integral multiple of the fundamental frequency.

Q. 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

100, 200, 300, 400, .....

100, 300, 500, 700, .....

200, 300, 400, 500 ,....

200, 400, 600, 800, .....

For a closed pipe fundamental frequency n1​=4LV​=100Hz For an open pipe fundamental frequency n1′​=2LV​=2n1​=200Hz In an open pipe, frequency produced will be integral multiple of the fundamental frequency.

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

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