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A sound wave travels at a speed of 339 m s⁻¹. If its wave... - Science
Question
A sound wave travels at a speed of 339 m s⁻¹. If its wavelength is 1.5 cm, what is the frequency of the wave? Will it be audible?
Answer
Given:
Speed (v) = 339\text{ m s}^{-1}
Wavelength (\lambda) = 1.5\text{ cm} = 0.015\text{ m}
Formula:
Speed = Wavelength \times Frequencyv = \lambda \times \nu
Therefore, Frequency (\nu) = \frac{v}{\lambda}
Calculation:
\nu = \frac{339}{0.015}\nu = 22,600\text{ Hz}
Will it be audible?
No, it will not be audible.
Reason: The audible range for humans is 20\text{ Hz} to 20,000\text{ Hz}. Since 22,600\text{ Hz} is greater than 20,000\text{ Hz}, it is ultrasonic and cannot be heard by humans.