Calculating the radius of a HII region - worked out but just need you to check

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In summary, to estimate the radius of a spherical HII region at a distance of 500 pc and an angle of 20' at the observer, we can use the formula L = D(theta), where D is the distance, L is the angular size, and theta is the angle. Plugging in the given values, we get L = 3pc, which means the radius of the HII region is approximately 1.5 pc. However, due to potential limitations in precision of the inputs, the actual radius may vary.
  • #1
lavenderblue
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Homework Statement


Estimate the radius of a spherical HII region which rests at a distance of 500 pc that subtends an angle of 20' at the observer. [1'=3x10-4 radians]

Homework Equations



L=D(theta)

Where D is the distance, L is the angular size and theta is the angle.


The Attempt at a Solution



L= 500*20*3*10^-4 = 3pc

L=3pc

Radius = 1.5 pc
 
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  • #2
Yes, as given, and to the likely limits of precision of the inputs. The 500pc distance in particular probably has ±50pc or more. So my instinct to quibble about how many radians in 1' isn't worthwhile :-).
 
  • #3
Thank you! :-)
 

FAQ: Calculating the radius of a HII region - worked out but just need you to check

What is a HII region?

A HII region is a large, ionized cloud of gas and dust in space. It is created when high-energy radiation from nearby stars ionizes the surrounding gas, causing it to emit light.

Why is calculating the radius of a HII region important?

Calculating the radius of a HII region can provide valuable information about the size and structure of the region, which can in turn give insight into the properties of the stars and gas within it. This can help us understand the formation and evolution of galaxies.

How is the radius of a HII region calculated?

The radius of a HII region can be calculated using the formula R = sqrt(L / 4πεσTe2ne2), where R is the radius, L is the luminosity, ε is the efficiency factor, σ is the Stefan-Boltzmann constant, and Te and ne are the electron temperature and density, respectively.

What factors can affect the accuracy of the calculated radius?

The accuracy of the calculated radius can be affected by uncertainties in the values used for luminosity, efficiency factor, electron temperature, and electron density. Other factors such as the presence of multiple stars within the region and variations in the gas density can also impact the accuracy.

Are there any other methods for calculating the radius of a HII region?

Yes, there are other methods for calculating the radius of a HII region, such as using radio observations or infrared observations. These methods may provide more accurate results in certain cases, but they also have their own limitations and uncertainties.

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