A speaker emits a mystery tone. When the speaker plays into the air column at 0°

Question

A speaker emits a mystery tone. When the speaker plays into the air column at 0°C, the first and fourth nodes are found to be separated by a distance of 0.85 m. What is the frequency of the mystery tone?

_____ Hz

Map sapling llearning this question was written by Steven Summers at Arkansas State University, Newport Which of the following are the boundary condition(s) for standing waves in an open-ended air column? Select all that apply! a node in the middle a node at the closed end an anti-node in the middle an anti-node at the open end a node at the open end an anti-node at the closed end Incorrect

Explanation / Answer

speed of sound at 0 degrees, vo = 331 m/s

let lamda is the wavelength of sound wave.

we know distance between adjacent nodes = lamda/2

so, distance between first and fourth nodes = 3*lamda/2

0.85 = 3*lamda/2

==>lamda = 2*0.85/3

= 0.567 m

now Apply,sound speed v = lamda*f

==> f = v/lamda

= 331/0.567

= 584 Hz

boundary condition.

a node at the closed end

an anti-node at the open end

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