1.Consider a wave that has a frequency of 6.1 kHz and a wavelength of 0.11 m. Wr

Question

1.Consider a wave that has a frequency of 6.1 kHz and a wavelength of 0.11 m. Write an equation that might describe this wave. (Assume that the amplitude is 1 m and the wave propagates in the positive x direction. Use the following as necessary: x, t, and ?.)

2.The figure below shows an experiment in which the sound waves generated by a singer and having a single frequency are emitted by two speakers. These sound waves interfere at a listener located at point P. If the interference at point P is constructive, what is the smallest possible value of the frequency? (Assume x = 2.2 m, ? = 21

Explanation / Answer

1) y = A*sin(kx -wt) = 1(m) *sin((18.18 ? x - 12200 ? t )

2) x1 =2.2/cos21 = 2.3565 m

path difference = x2-x1 = 0.1565 m

pd= L

f = V/L = V / pd = 343/(2*0.1565) = 2191.69

4) nfo = 360

n' *fo = 1080

n' / n = 3

n' = 3n

3n-1)*fo = 720

n = 1

fo = 720/2 = 360 Hz

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