Name:__________________________
GSP 216: Introduction to Remote Sensing
Spring 2016
Lab 2 Worksheet
References
Wavelength, Frequency & Energy:
c=𝜆x𝜐 E=hx𝜐
𝜆 = wavelength in meters
𝜐 = frequency in Hertz
c = 3 x 108 m/sec (Speed of Light)
E = energy of a quantum (Joules (J))
h = Planck’s constant: 6.626 X 10 -34 J ·sec
Stefan-Boltzmann Law: M = σ T 4
M = Total energy emitted (watts/ m2)
σ = S-B constant, 5.67 x 10-8 W m-2 K-4
T = Absolute temperature in K
Wien's Displacement Law: λm = A/T
λm = Wavelength of max radiation (m)
A = Constant, 2.9x10-3 m·K
T = Temperature (K)
Color
Violet
Blue
Green
Yellow
Orange
Red
Wavelength
380–
450 nm
450–
495 nm
495–
570 nm
570–
590 nm
590–
620 nm
620–
750 nm
GSP 216: Introduction to Remote Sensing
Spring 2016
Complete the following calculations and questions. If you don’t have a calculator, you can use
the one on your lab computer. Questions 1-15 are worth 2 points each, question 16 is worth 5
points.
For questions 1-5, convert each of the following to either Meters for wavelengths, or Hertz
for frequencies. Show your answer in both standard and scientific notation. Show your
work.
1. 580 nm
2. 0.75 μm
3. 0.4 kHz
4. 240 kHz
5. 120 GHz
6. Convert 0.45 μm to nm
7. Convert 3.8 x 1011 kHz to THz
GSP 216: Introduction to Remote Sensing
Spring 2016
8. Describe the relationship between wavelength and frequency.
9. What is the frequency of light that has a wavelength of 450 nm?
10. What is the wavelength of light that has a frequency of 4.6 x 1011 kHz?
11. What portion of the spectrum does this correspond to?
12. What is the energy of the light in question 10 above?
GSP 216: Introduction to Remote Sensing
Spring 2016
13. If the temperature of the sun is approximately 5778 °K what is the wavelength of the
Sun’s peak radiation in nanometers?
14. Given that the total amount of emitted energy of the earth is 4.412 x 102
𝑊
M2
find the
ambient temperature of the Earth. Provide your answer in degrees Celsius. Note:
Degrees Celsius = Kelvin - 273.15
15. Using the below spectral distribution, identify the region where the Earth emits the
greatest amount of radiation? Which portion of the spectrum does this region
correspond to?
GSP 216: Introduction to Remote Sensing
Spring 2016
16. Explain the importance of Stephan-Boltzmann’s and Wien’s Displacement laws in
relation to remote sensing (5pts).