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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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