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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∘C.

Short Answer

Expert verified

The ratio is 0.22

Step by step solution

01

Given Data

The temperature isT=0.20∘C.

The sound waves’ 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+0.6×20.0∘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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Most popular questions from this chapter

(a) At an air show a jet flies directly toward the stands at a speed of\({\rm{1200}}\;{\rm{km/h}}\), emitting a frequency of\({\rm{3500}}\;{\rm{Hz}}\), on a day when the speed of sound is\({\rm{342}}\;{\rm{m/s}}\). What frequency is received by the observers? (b) What frequency do they receive as the plane flies directly away from them?

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(a) A bat uses ultrasound to find its way among trees. If this bat can detect echoes 1.00ms apart, what minimum distance between objects can it detect? (b) Could this distance explain the difficulty that bats have to find an open door when they accidentally get into a house?
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