Question

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A tuning fork with a frequency of 440 Hz produces waves with a wavelength of 0.78 m at 20° C. What will be its wavelength at 13° C?

0.77 m

1.29 m

0.66 m

2.06 m

Answer 1

Answer:

λf = c (speed of the wave in m/s)

λ = Wavelength in meters

f = frequency in Hz

Speed of sound vs temperature

c = (331 + 0.606T) m/s

T is temperature in ºC

At 20º, speed of sound is (331 + 0.606•20) m/s = 343 m/s

λ = 343 m/s / 440 Hz = 0.780 meters

At 13º, speed of sound is (331 + 0.606•13) m/s = 349 m/s

λ = 349 m/s / 440 Hz = 0.770 meters