Observing O-type Stars: Easier at 1 or 7 Microm?

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SUMMARY

The discussion centers on the detection of O-type stars through a molecular cloud, specifically comparing the optical depth at 1 microm and 7 microm. According to Beer’s Law, the intensity of light is affected by the optical depth (T) of the medium, which varies with wavelength. At 7 microm, the optical depth is given as 1, indicating significant absorption. Therefore, detecting the star at 1 microm would likely be easier due to lower absorption and higher transmission of light through the medium.

PREREQUISITES
  • Understanding of Beer’s Law and its application in light absorption
  • Familiarity with optical depth and its significance in astrophysics
  • Knowledge of the properties of O-type stars and their spectral characteristics
  • Basic principles of light interaction with partially opaque media
NEXT STEPS
  • Research the effects of wavelength on optical depth in different mediums
  • Explore the spectral characteristics of O-type stars
  • Study the principles of light absorption and transmission in astrophysical contexts
  • Investigate advanced detector technologies for astronomical observations
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Astronomers, astrophysicists, and students studying stellar properties and light interaction with media will benefit from this discussion.

randa177
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Does anybody have any idea how to solve this problem:

The extinction of light due to its passage through a partially opaque medium is given by Beer’s Law (known by most chemistry students and many physics students, I hope!):

I = Io e^ T

where (Io) is the intensity of the light incident on the medium and (I) is the intensity after exiting the medium. (T) is the “optical depth” of the medium.

Suppose you were observing an O-type star embedded in a molecular cloud and the optical depth at 7 microm was 1. Everything else being equal (detector technology etc.) would it be easier to detect the star at 1 microm or 7 microm?
 
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T depends on the wavelength and on the wavelength-dependent absorption properties of the cloud, so there is no single answer to the question.
 

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