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A sound wave has a frequency of 619 Hz in air and a wavelength of 0.51 m. What is the temperature of the air? Assume the velocity of sound at 0◦C is 335 m/s.
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A sound wave has a frequency of 619 Hz in air and a wavelength of 0.51 m. What is the temperature of the air? Assume the velocity of sound at 0◦C is 335 m/s.

User Ginkul
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1 Answer

7 votes

Answer;

- 32.18 °C

Step-by-step explanation;

Speed of the sound is given by the product of frequency and wavelength.

Speed = frequency × wavelength

= 619 Hz × 0.51 m

= 315.69 m/s

Speed of sound at 0◦C is 335 m/s.

But; Speed of the sound = 335 + 0.6 T

315.69 = 335 + 0.6 T

T = - 32.18 °C

User Mkeiser
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