Electromagnetic Radiation Principles And Blackbody Radiation¶
Homework Content¶
Equations and Assumptions¶
Relationship between Wavelength and Frequency¶
\[\begin{split}c &= f{\lambda} \\
c &= \textrm {speed of light} = 3.0 * 10^8 \textrm {meters per second} \\
f &= \textrm {frequency} \\
{\lambda} &= \textrm {wavelength}\end{split}\]
Stefan-Boltzman law¶
\[\begin{split}M_{\lambda} &= {\sigma}T^4 \\
M_{\lambda} &= \textrm {Total emitted radation in Watts per square meter} \\
{\sigma} &= \textrm {Stefan-Boltzmann constant} = 5.6697 * 10^{-8} Wm^{-2}K^{-4} \\
T &= \textrm {Temperature in Kelvin}\end{split}\]
Wien’s diplacement law¶
\[\begin{split}{\lambda}_\textrm{max} &= \frac{k}{T} \\
{\lambda}_\textrm{max} &= \textrm {Maximum emitted wavelength} \\
k &= 2898 {\mu}m K \\
T &= \textrm {Temperature in Kelvin} \\\end{split}\]
Problems¶
Show all your work clearly with all units and in detail, leading up to the answer:
- If the wavelength of an EM wave is 0.7 micrometers.
- How many nanometers is this and what is the color of this wave?
- What is the frequency of this wave?
- An electromagnetic wave has a frequency of 2.0 x 107 Hertz.
- What is its wavelength?
- To which part of the electromagnetic spectrum does this wave belong?
- The maximum wavelength emitted by a cooling blackbody is 200 nanometers. What is the temperature of the blackbody in:
- Kelvin
- degrees Celsius
- degrees Fahrenheit
- If the temperature of a blackbody is 75 degrees Fahrenheit, what is the wavelength of the maximum radiation emitted by the object?
- measured in nanometers
- measured in micrometers
- Why is it that you should or should not put a sensor to look at reflected radiation from the Earth at 0.2 micrometers? Please elaborate on the specific reasons.
- Which molecules in the atmosphere are responsible for the maximum absorption of incoming sunlight?
Metadata¶
Title:Electromagnetic Radiation Principles And Blackbody Radiation
CreationDate:06/20/2013
SoftwareUsed:None
SoftwareVersion:None