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A wave has a speed of 150m/s and a frequency of 10 Hz. What is the wavelength of this wave?

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A wave has a speed of 150m/s and a frequency of 10 Hz. What is the wavelength of this wave?

A wave has a speed of 150m/s and a frequency of 10 Hz. What is the wavelength of this wave?

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AnnaElite · Tutor for 8 years

Answer

15 meters

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To find the wavelength of a wave, we use the relationship given by the equation \( v = f\lambda \), where \( v \) is the speed of the wave, \( f \) is the frequency, and \( \lambda \) is the wavelength. In this scenario, the speed (\( v \)) of the wave is given as \( 150 \mathrm{~m/s} \) and the frequency (\( f \)) is \( 10 \mathrm{~Hz} \). We are asked to find the wavelength (\( \lambda \)) of this wave. To solve for \( \lambda \), we rearrange the equation to \( \lambda = \frac{v}{f} \). Substituting the given values into this equation, we get \( \lambda = \frac{150 \mathrm{~m/s}}{10 \mathrm{~Hz}} \).
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