Answer: A) Wavelength and frequency are inversely proportional.
Explanation:
From the wave equation;
Velocity= frequency × wavelength
If the above equation is rearranged making the frequency the subject of formula, it would give;
Frequency= velocity/ wavelength.
From the above equation we see that frequency is inversely proportional to the wavelength. This means that for every increase in wavelength there would be a decrease in frequency, and for every increase in frequency there is a reduction in wavelength.
Considering the definition of frequency, wavelength and propagation speed, wavelength and frequency are inversely proportional.
Frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).
The wavelength is the minimum distance between two successive points of the wave that are in the same state of vibration. It is expressed in units of length (m).
The propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the disturbance of the wave propagates along its displacement.
Relate the wavelength (λ) and the frequency (f) in an inversely proportional way through the following equation:
v=f×λ
Finally, by definition of propagation speed, wavelength and frequency are inversely proportional.
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