Question

Find the length (in m) of an organ pipe closed at one end that produces a fundamental frequency of 175 Hz when air temperature is 18.0°C

Answer 1

Length = 0.4882 m

Step-by-step explanation:

given data

fundamental frequency = 175 Hz

air temperature = 18.0°C

solution

we will apply here fundamental frequency formula that is

F =
`(v)/(4L)` ....................1

here v =
`331 \sqrt{1+(T)/(273)}`

here 331 m/s is speed of sound in air

so v =
`331 \sqrt{1+(18)/(273)}` = 341.74 m/s

now put value in equation 1 we get

F =
`(v)/(4L)`

`175 = (341.74)/(4L)`

Length = 0.4882 m