the microwave protion of the spectrum has wavelengths ranging from 1 mm to 1 m. find the corresponding frequency?
L = 1 mm to 1m.
L = V/F
F = V/L = 3*10^8/1*10^-3m = 3*10^11 Hz.
F = 3*10^8/1m = 3*10^8 Hz.
To find the corresponding frequency for the microwave portion of the spectrum, we can use the formula:
Frequency = Speed of Light / Wavelength
The speed of light is approximately 3 x 10^8 meters per second.
Given that the range of wavelengths for the microwave portion of the spectrum is 1 mm (0.001 meters) to 1 m, we can calculate the frequency at each end of the range.
For the lower end of the range (1 mm wavelength):
Frequency = (3 x 10^8 m/s) / (0.001 m) = 3 x 10^11 Hz
For the upper end of the range (1 m wavelength):
Frequency = (3 x 10^8 m/s) / (1 m) = 3 x 10^8 Hz
Therefore, the corresponding frequency for the microwave portion of the spectrum ranges from approximately 3 x 10^11 Hz to 3 x 10^8 Hz.
To find the corresponding frequency of the microwave portion of the spectrum, you can use the formula:
Frequency (f) = Speed of Light (c) / Wavelength (λ)
Where the speed of light, c, is approximately 3 x 10^8 meters per second.
Given that the wavelengths of the microwave portion of the spectrum range from 1 mm to 1 m, we need to convert the lengths to meters to match the units used in the formula.
1 mm is equal to 0.001 meters.
1 m is equal to 1 meter.
Now, we can substitute the values into the formula to find the frequency range:
For the lower limit wavelength (λ = 0.001 m):
f = 3 x 10^8 m/s / 0.001 m
For the upper limit wavelength (λ = 1 m):
f = 3 x 10^8 m/s / 1 m
Simplifying the calculations:
For the lower limit:
f = 3 x 10^8 x (1 / 0.001) Hz
f = 3 x 10^11 Hz
For the upper limit:
f = 3 x 10^8 x (1 / 1) Hz
f = 3 x 10^8 Hz
Therefore, the corresponding frequency range of the microwave portion of the spectrum is approximately 3 x 10^8 Hz to 3 x 10^11 Hz.