Question

We sing better in the shower due to standing waves. Assume that your shower is 2.45 m (about 8 ft) tall and can be modeled as an organ pipe. What is the wavelength of the fundamental harmonic for standing waves in this shower

Answer 1

4.9 m

Step-by-step explanation:

Length of the pipe , L = 2.45 m

It behaves like an open organ pipe.

For the fundamental frequency

λ/2 = L

Where, λ be the wavelength of the standing waves produced in th eorgan pipe.

λ = 2 x L

λ = 2 x 2.45

λ = 4.9 m

Thus, the wavelength is 4.9 m.

Answer 2

λ = 4.9 m

Step-by-step explanation:

given,

length of the organ pipe,L = 2.45 m

wavelength of the standing wave = ?

fundamental harmonic is given as,

`L= (\lambda)/(2)`

`\lambda= 2 * L`

`\lambda= 2 * 2.45`

λ = 4.9 m

Hence, the wavelength of the fundamental harmonic for standing waves in this shower is given by λ = 4.9 m