Bats rely on sound localization to be able to fly during the night. on a cool 20 °c summer night, a bat produces an ultrasonic sound with a frequency of 37 khz. what is the wavelength of this ultrasound, in meters?

Question

Physics

Darius Stevenson

20 June, 19:50

Bats rely on sound localization to be able to fly during the night. on a cool 20 °c summer night, a bat produces an ultrasonic sound with a frequency of 37 khz. what is the wavelength of this ultrasound, in meters?

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Sydney Kirk · Answer 1

The unit of frequency, kHz, is also equivalent to 1/kilosecond or 1/1000 seconds. The equation relating wavelength and frequency is:

c = wavelength*frequency, where c is known as the speed of light. But since we are dealing with ultrasound, we use the speed of sound. The speed of sound is dependent on the temperature. The correlation would be:

c = 331 + 0.6T = 331 + 0.6 (20°C) = 343 m/s

Therefore,

343 = wavelength * 1/1000

wavelength = 343,000 meters