Question

A piccolo and a flute can be approximated as cylindrical tubes with both ends open. The lowest fundamental frequency produced by one kind of piccolo is 522.5 Hz, and that produced by one kind of flute is 256.9 Hz. What is the ratio of the piccolo's length to the flute's length?

Answer 1

Answer:

ratio of the piccolo's length to the flute's length is 0.4916

Explanation:

given data

frequency of piccolo = 522.5 Hz

frequency of flute = 256.9 Hz

to find out

ratio of the piccolo's length to the flute's length

solution

we get here length of tube that is express as

length of tube = velocity of sound ÷ fundamental frequency .......................1

so here ratio of Piccolo length to flute that is

$\frac{L\ picco}{L\ flute} = \frac{f\ flute}{f \ piccolo}$

$\frac{l \ piccolo}{L\ flute} = \frac{256.9}{522.5}$  =  0.4916

so ratio of the piccolo's length to the flute's length is 0.4916