Savchenko Problem 3.8.17

Physics · mechanics · electromagnetism

Problem

A sound signal whose length is much less than l falls on a flat wall of thickness l perpendicular to its surface. Due to multiple reflections of the signal from the boundaries of the wall a sequence of secondary signals ("echo-signals") appears, the amplitude of which decreases in geometric progression. The density of the medium, in which the wall is located, and of the wall itself are ρ1\rho_1 and ρ2\rho_2, respectively. The velocity of sound in the medium and the wall are c1c_1 and c2c_2, respectively. Determine the ratio of the amplitudes of two consecutive "echoes" in the medium behind the wall, as well as the distance between them.

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