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Chapter 17: Q8PE (page 629)

A sonar echo returns to a submarine \(1.20\;{\rm{s}}\) after being emitted. What is the distance to the object creating the echo? (Assume that the submarine is in the ocean, not in fresh water.)

Short Answer

Expert verified

The distance to the object creating echo is \(206\;{\rm{m}}\).

Step by step solution

01

Echo

The reflected sound reaches the listener separately from the primary source, an echo.

02

Given Data

The time of travel is \(T = 1.20\;{\rm{s}}\).

03

Calculation of the distance

The distance of the object creating echo is given by,

\(d = 0.5vT\)

Here,\(v = 343\;{\rm{m/s}}\)is the speed of sound in air.

Plugging the values,

\(\begin{align}d &= 0.5 \times 343 \times 1.20\\ &= 206\;{\rm{m}}\end{align}\)

Therefore, the distance to the object creating the echo is \(206\;{\rm{m}}\)

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Most popular questions from this chapter

(a) What frequency is received by a person watching an oncoming ambulance moving at\(110\;{\rm{km/h}}\)and emitting a steady\(800\;{\rm{Hz}}\)sound from its siren? The speed of sound on this day is\(345\;{\rm{m/s}}\). (b) What frequency does she receive after the ambulance has passed?

Is 155dB ultrasound in the range of intensities used for deep heating? Calculate the intensity of this ultrasound and compare this intensity with the values quoted in the text.

Is the Doppler shift real or just a sensory illusion?

Ultrasound reflected from an oncoming bloodstream that is moving at30.0 cm/sis mixed with the original frequency of\({\bf{2}}.{\bf{50}}{\rm{ }}{\bf{MHz}}\)to produce beats. What is the beat frequency? (Assume that the frequency of\({\bf{2}}.{\bf{50}}{\rm{ }}{\bf{MHz}}\)is accurate to seven significant figures.)

Why can a hearing test show that your threshold of hearing is 0 at 250Hz , when Figure 17.37 implies that no one can hear such a frequency at less than 20dB?
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