Which of the following correctly expresses the relationship between frequency and wavelength. Use the diagram below to help you.
a
Frequency increases as wavelength decreases (gets shorter)
b
Frequency is equal to wavelength.
c
Frequency and wavelength are unrelated.
d
Frequency decreases as wavelength increases (gets longer)
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To determine the correct answer, let's analyze the relationship between frequency and wavelength. Frequency and wavelength are two different properties of waves.
Frequency refers to the number of complete cycles of a wave that occur in one second. It is measured in Hertz (Hz). In other words, frequency determines how many oscillations or vibrations of a wave occur in a given time interval.
Wavelength, on the other hand, is the distance between two consecutive points in a wave that are in phase with each other. It is typically measured in meters (m) or some other unit of length. Wavelength determines the spatial extent of one complete cycle of the wave.
Now let's look at the options:
a) Frequency increases as wavelength decreases (gets shorter)
This option is correct. As the wavelength gets shorter, the distance between consecutive points in the wave that are in phase decreases. Therefore, the number of cycles that occur in one second increases, resulting in a higher frequency.
b) Frequency is equal to wavelength.
This option is incorrect. Frequency and wavelength are two distinct properties of a wave and are not equal to each other.
c) Frequency and wavelength are unrelated.
This option is incorrect. Frequency and wavelength are actually related to each other through the speed of the wave. The speed of a wave is equal to the product of its frequency and wavelength.
d) Frequency decreases as wavelength increases (gets longer)
This option is incorrect. The correct relationship is the opposite - as the wavelength increases (gets longer), the number of cycles that occur in one second decreases, resulting in a lower frequency.
Therefore, the correct answer is option a) - Frequency increases as wavelength decreases (gets shorter).