Problem

1. (a) A longitudinal wave propagating in a water-filled pipe has intensity

3.00 \times 10^{-6} \text{ W/m}^2

and frequency 3400 Hz. Find the amplitude

A

and wavelength

\lambda

of the wave. Water has density

1000 \text{ kg/m}^3

and bulk modulus

2.18 \times 10^9 \text{ Pa}

. 2. (b) If the pipe is filled with air at pressure

1.00 \times 10^5 \text{ Pa}

and density

1.20 \text{ kg/m}^3

, what will be the amplitude

A

and wavelength

\lambda

of a longitudinal wave with the same intensity and frequency as in part (a)? 3. (c) In which fluid is the amplitude larger, water or air? What is the ratio of the two amplitudes? Why is this ratio so different from one? Consider air as diatomic.

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