Question

An air-filled pipe is found to have successive harmonics at 1085 HzHz , 1395 HzHz , and 1705 HzHz . It is unknown whether harmonics below 1085 HzHz and above 1705 HzHz exist in the pipe. What is the length of the pipe

Answer 1

0.55m

Step-by-step explanation:

the successive harmonic frequencies are ,

f= 1085Hz

f¹ = 1395Hz

f² =1705Hz

fundamental frequency = 2F = f¹ - f

F= (f¹ - f) / 2

F= (1395-1085)/2

F= 310/2

=155Hz

F = V/4L

Where V= velocity of sound in air =343m/s

l=length of pipe

L= V/4F

=343/(4 × 155)

=343/620

=0.553m