what is the frequency of light with a wavelength of 3 meters?
What is the frequency of light with a wavelength of 3 meters?
Answer:
To determine the frequency of light with a given wavelength, we can use the relationship between the speed of light, wavelength, and frequency. The formula to use here is:
c = \lambda f
where:
- ( c ) is the speed of light in a vacuum, approximately ( 3 \times 10^8 ) meters per second (m/s),
- ( \lambda ) is the wavelength of the light,
- ( f ) is the frequency of the light.
Solution By Steps:
-
Identify the given values:
- Wavelength, ( \lambda = 3 ) meters (m),
- Speed of light, ( c = 3 \times 10^8 ) meters per second (m/s).
-
Rearrange the equation to solve for frequency ( f ):
-
By solving for ( f ), we get
f = \frac{c}{\lambda}
-
-
Plug in the values:
-
Substituting the given values into the equation:
f = \frac{3 \times 10^8 \text{ m/s}}{3 \text{ m}}
-
-
Calculate the frequency:
-
Perform the division:
f = \frac{3 \times 10^8}{3}f = 1 \times 10^8 \text{ Hz}
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Final Answer:
The frequency of light with a wavelength of 3 meters is 1 \times 10^8 Hertz (Hz).
This frequency lies within the radio wave range of the electromagnetic spectrum, which is far from the visible light range. The visible light spectrum ranges from about 4 \times 10^{14} Hz to 7.5 \times 10^{14} Hz, corresponding to wavelengths between approximately 400 nm and 700 nm.