Questions: Question 4
Using the figure below, categorize electromagnetic radiation with a wavelength of 1.0 x 10^-3 m. Infrared X rays Ultraviolet Microwave Gamma rays
Transcript text: Question 4
Using the figure below, categorize electromagnetic radiation with a wavelength of $1.0 \times 10^{-3} \mathrm{~m}$.
Infrared
X rays
Ultraviolet
Microwave
Gamma rays
Solution
Solution Steps
Step 1: Convert the wavelength to nm
The given wavelength is \(1.0 \times 10^{-3} \mathrm{~m}\). To convert this to nanometers (nm), we multiply by \(10^9\):
\(1.0 \times 10^{-3} \mathrm{~m} \times \frac{10^9 \mathrm{~nm}}{1 \mathrm{~m}} = 1.0 \times 10^6 \mathrm{~nm}\)
Step 2: Locate the wavelength on the electromagnetic spectrum
The wavelength \(1.0 \times 10^6 \mathrm{~nm}\) falls between \(10^5 \mathrm{~nm}\) and \(10^7 \mathrm{~nm}\) on the wavelength scale.
Step 3: Identify the corresponding type of radiation
According to the diagram, the region between \(10^5 \mathrm{~nm}\) and \(10^7 \mathrm{~nm}\) corresponds to infrared radiation.