A dolphin in 25^∘ C sea water emits a sound directed toward...

A dolphin in $25^{\circ} \mathrm{C}$ sea water emits a sound directed toward the bottom of the occan $150 \mathrm{m}$ below. How much time passes before it hears an ccho? (Sce Table
13-1 on page 482 for the speed of the sound.

Key Concepts

Round-Trip Distance Calculation

When calculating the time delay for an echo, it is necessary to compute the round-trip distance that the sound wave travels. This involves doubling the one-way distance, as the sound must travel to the reflecting surface and then back to the source. This concept is fundamental in acoustics and helps in determining how far away the reflecting surface is based on the time taken for the echo to return.

Time-Distance Relationship in Wave Propagation

The time taken for any wave to travel a certain distance is given by the relation time = distance / speed. Applying this relationship in the context of an echo allows for the determination of the delay between the emission and reception of the sound based on the distance traveled and the speed of sound in the medium.

Echo and Sound Reflection

An echo occurs when a sound wave encounters a surface or boundary and is reflected back toward the source. Understanding the reflection of sound is vital for analyzing time delays in echo detection. In this context, the sound emitted by the dolphin travels to the ocean floor and then reflects back, making the echo a result of the round-trip transit of the sound wave.

Speed of Sound in Water

The speed of sound in water is a critical concept as it determines how quickly sound waves can travel through the medium. This speed varies with physical parameters such as temperature, salinity, and pressure. In many practical situations, tables or formulas are used to obtain the specific speed for given environmental conditions, which is essential for accurate calculations in underwater acoustics.

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