When a guitar string is plucked, it causes a longitudinal sound wave in the air, as shown.0.0 0.2 0.4distance / m0.6 0.8The speed of sound in the air is 340 m s –1.What is the approximate frequency of the sound wave shown?A 430 Hz B 680 Hz C 1100 Hz D 1400 Hz
Question
When a guitar string is plucked, it causes a longitudinal sound wave in the air, as shown.0.0 0.2 0.4distance / m0.6 0.8The speed of sound in the air is 340 m s –1.What is the approximate frequency of the sound wave shown?A 430 Hz B 680 Hz C 1100 Hz D 1400 Hz
Solution
To find the frequency of the sound wave, we first need to determine the wavelength from the given diagram.
From the diagram, it appears that the distance between two consecutive similar points (which represents one complete wave or cycle) is around 0.8 meters. This is the wavelength (λ) of the wave.
We know that the speed of sound (v) in air is given as 340 m/s.
The formula to find the frequency (f) of a wave is:
f = v / λ
Substituting the given values:
f = 340 m/s / 0.8 m
f = 425 Hz
The closest answer to this is A: 430 Hz. So, the approximate frequency of the sound wave shown is 430 Hz.
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