Electromagnetic radiation having a 12.0 µm wavelength is classified as infrared radiation. What is its frequency?
1 Hz
i got 1.31e+13???
f = c/λ = 3•10^8/12•10^-6 =2.5•10^-13 Hz
To find the frequency (f) of electromagnetic radiation, you can use the equation:
c = λ * f
Where:
c = speed of light in a vacuum (approximately 3.00 x 10^8 m/s)
λ = wavelength of the radiation
First, convert the wavelength from micrometers (µm) to meters (m):
12.0 µm = 12.0 x 10^-6 m
Now, you can substitute the values into the equation:
3.00 x 10^8 m/s = (12.0 x 10^-6 m) * f
To isolate the frequency (f), divide both sides of the equation by the wavelength:
f = (3.00 x 10^8 m/s) / (12.0 x 10^-6 m)
Performing the calculation, you get:
f = 2.50 x 10^13 Hz
Therefore, the frequency of electromagnetic radiation with a 12.0 µm wavelength is approximately 2.50 x 10^13 Hz, not 1.31 x 10^13 Hz.
To find the frequency of electromagnetic radiation with a given wavelength, you can use the formula:
c = λ * f
Where:
c = speed of light (approximately 3.00 x 10^8 m/s)
λ = wavelength in meters
f = frequency in hertz (Hz)
To convert the wavelength from micrometers (µm) to meters, you need to multiply it by a conversion factor:
1 µm = 1 x 10^-6 m
Given that the wavelength is 12.0 µm, you can convert it to meters:
12.0 µm = 12.0 x 10^-6 m = 1.20 x 10^-5 m
Now, you can rearrange the formula to solve for frequency, f:
f = c / λ
Substituting the known values:
f = (3.00 x 10^8 m/s) / (1.20 x 10^-5 m)
Simplifying:
f ≈ 2.50 x 10^13 Hz
Therefore, the frequency of the electromagnetic radiation with a 12.0 µm wavelength is approximately 2.50 x 10^13 Hz.
It seems that you made a small mistake in your calculation, resulting in a slightly different value.