Which of the following correctly describe the relationship of wavelength and frequency?
A. the longer the wavelength ,the lower frequency
B. the longer the wavelength, the higher the frequency
C. the shorter the wavelength, the lower frequency.
D. the amount of wavelength frequency depends on the wave speed
Plss answer this
D. the amount of wavelength frequency depends on the wave speed
since the velocity is constant, and
v = λf
what do you think?
The relationship between wavelength and frequency is an important concept in physics. To understand this relationship, let's start with the definitions of these terms.
Wavelength is the distance between two consecutive points on a wave that are in phase. It is typically measured in meters (m) or other length units. Frequency, on the other hand, is the number of wave cycles passing a given point per unit of time. It is measured in hertz (Hz), which represents one cycle per second.
Now, let's consider the given options:
A. "The longer the wavelength, the lower the frequency."
This statement is correct. Longer wavelengths correspond to lower frequencies. This can be understood by thinking about the relationship between the length of a wave and the time it takes for one complete cycle to occur. A longer wavelength wave covers a larger distance in each cycle, so it takes more time to complete one cycle, resulting in a lower frequency.
B. "The longer the wavelength, the higher the frequency."
This statement is incorrect. As explained in option A, longer wavelengths actually correspond to lower frequencies, not higher frequencies.
C. "The shorter the wavelength, the lower frequency."
This statement is incorrect. Shorter wavelengths correspond to higher frequencies. Shorter waves have less distance to cover in each cycle, so they complete more cycles in a given time and have a higher frequency.
D. "The amount of wavelength frequency depends on the wave speed."
This statement is partially correct. The frequency of a wave is not directly dependent on the wave speed. However, the wave speed is related to the wavelength and frequency through the equation: wave speed = wavelength × frequency. This means that for a given wave speed, as the wavelength increases, the frequency decreases (and vice versa). So, indirectly, the wave speed does affect the relationship between wavelength and frequency.
In summary, the correct statement describing the relationship between wavelength and frequency is: "The longer the wavelength, the lower the frequency."