a
The longer the wavelength, the lower the frequency.
Which of the following statements best describes the relationship between wavelength and frequency?
a
The longer the wavelength, the lower the frequency.
b
The shorter the wavelength, the lower the frequency.
c
The shorter the wavelength, the weaker the frequency.
d
The longer the wavelength, the higher the frequency.
7 answers
Why do you think so?
I apologize for the confusion in my previous response. The correct relationship between wavelength and frequency is:
d) The longer the wavelength, the lower the frequency.
This is because wavelength and frequency are inversely proportional to each other in a wave. As wavelength increases, frequency decreases, and vice versa. This relationship is described by the equation:
\[ \text{speed} = \text{frequency} \times \text{wavelength} \]
So, when the wavelength increases, the frequency decreases. Thank you for pointing out the error in my previous response.
d) The longer the wavelength, the lower the frequency.
This is because wavelength and frequency are inversely proportional to each other in a wave. As wavelength increases, frequency decreases, and vice versa. This relationship is described by the equation:
\[ \text{speed} = \text{frequency} \times \text{wavelength} \]
So, when the wavelength increases, the frequency decreases. Thank you for pointing out the error in my previous response.
What's the formula that relates them?
The formula that relates wavelength, frequency, and the speed of a wave is:
\[ \text{speed} = \text{frequency} \times \text{wavelength} \]
Where:
- Speed is the speed of the wave (usually the speed of light in a vacuum, denoted by symbol \( c \))
- Frequency is the number of wave cycles passing a point per unit of time (measured in Hertz, Hz)
- Wavelength is the distance between two consecutive points on a wave where the wave pattern is repeated (measured in meters)
This formula shows how the speed of a wave is affected by its frequency and wavelength, with the three quantities being related to each other.
\[ \text{speed} = \text{frequency} \times \text{wavelength} \]
Where:
- Speed is the speed of the wave (usually the speed of light in a vacuum, denoted by symbol \( c \))
- Frequency is the number of wave cycles passing a point per unit of time (measured in Hertz, Hz)
- Wavelength is the distance between two consecutive points on a wave where the wave pattern is repeated (measured in meters)
This formula shows how the speed of a wave is affected by its frequency and wavelength, with the three quantities being related to each other.
What do we know about frequency and wavelength together?
Frequency and wavelength are inversely related in a wave. This means that as the frequency of a wave increases, the wavelength decreases, and vice versa. The relationship between frequency and wavelength can be described by the formula:
\[ \text{speed} = \text{frequency} \times \text{wavelength} \]
This relationship indicates that wave speed remains constant, so when frequency changes, wavelength must change in the opposite direction to maintain the speed. This is why shorter wavelengths correspond to higher frequencies and longer wavelengths correspond to lower frequencies.
In summary, frequency and wavelength are inversely proportional to each other in a wave.
\[ \text{speed} = \text{frequency} \times \text{wavelength} \]
This relationship indicates that wave speed remains constant, so when frequency changes, wavelength must change in the opposite direction to maintain the speed. This is why shorter wavelengths correspond to higher frequencies and longer wavelengths correspond to lower frequencies.
In summary, frequency and wavelength are inversely proportional to each other in a wave.