We all sound like great singers in the shower due to, Physics

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We all sound like great singers in the shower due to

We all sound like great singers in the shower, due to standing waves. Assume that your shower is 2.40m (about 7.89ft ) tall and can be modeled as an organ pipe

part a ) What will we have at the floor and ceiling, displacement nodes or antinodes?

part b ) What is the wavelength of the fundamental harmonic for standing waves in this shower?

part c ) What is the frequency of the fundamental harmonic for standing waves in this shower?

part d ) What are the wavelengths of the first two overtones for this shower?

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