8. What is the wavelength of a sound wave that has a speed of 250 m/s and a frequency of 400 Hz?

9. What is the wave speed of a wave that has a frequency of 50 Hz and a wavelength of 2.0 m?

10. What is the wave speed of a wave that has a frequency of 100 Hz and a wavelength of 0.50 m?

Correct answer: 8. λ = 0.625 m; 9. v = 100 m/s; 10. v = 50 m/s

Explanation:

The formula linking wavelength, speed and frequency is as follows:

λ = v / f

We will use this formula in all three questions

8. Given: speed v = 250 m/s, frequency f = 400 Hz

required: wavelength λ = ?

λ = v / f = 250 / 400 = 0.625 m

λ = 0.625 m

9. Given: frequency f = 50 Hz, wavelength λ = 2 m

required: speed v = ?

v = λ · f = 2 · 50 = 100 m/s

v = 100 m/s

10. Given: frequency f = 100 Hz, wavelength λ = 0.5 m

required: speed v = ?

v = λ · f = 0.5 · 100 = 50 m/s

v = 50 m/s

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