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Chapter 17: Q7PE (page 629)

Dolphins make sounds in air and water. What is the ratio of the wavelength of a sound in air to its wavelength in seawater? Assume air temperature is 20.0鈭�C.

Short Answer

Expert verified

The ratio is 0.22

Step by step solution

01

Given Data

The temperature isT=0.20鈭�C.

The sound waves鈥� speed is Vseawater=1540m/s.

02

Explanation

A proportional increase, with an increase in temperature, is observed in the velocity of a sound wave traveling in a gaseous medium.

03

Calculation of the speed

The speed of a wave is given by,

v=331+0.6T

Plugging the values,

v=331+0.6脳20.0鈭�C=343m/s

The ratio of the speeds is,

vVseawater=343m/s1540m/s=0.22

The ratio between the two velocities is 0.22 .

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A diagnostic ultrasound echo is reflected from moving blood and returns with a frequency\({\rm{500 Hz}}\)higher than its original\({\rm{2}}{\rm{.00 MHz}}\). What is the velocity of the blood? (Assume that the frequency of\({\rm{2}}{\rm{.00 MHz}}\)is accurate to seven significant figures and\({\rm{500 Hz}}\)is accurate to three significant figures.)

(a) Find the intensity in watts per meter squared of a \({\rm{60}}{\rm{.0 Hz}}\)sound having a loudness of\({\bf{60}}{\rm{ }}{\bf{phons}}\). (b) Find the intensity in watts per meter squared of a\({\rm{10,000 Hz}}\)sound having a loudness of\({\bf{60}}{\rm{ }}{\bf{phons}}\).

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