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

The correct option is D $200,400,600,800,.....$

Fundamental frequency of a closed pipe

$f_c=\frac{v}{4L}=100$

Fundamental frequency for open pipe $f_o=\frac{v}{2L}=200$

so $f_2=2f_o=400$

$f_3=3f_o=600$