How to answer this question, 21-cm emission line

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The discussion centers on the question of why 21-cm emission only reveals the rotation curve of the Galaxy at galactocentric radii less than that of the Solar system. Participants express confusion over the question's clarity and context, noting a lack of guidance in the lab script and online resources. Key points include the need for clarification on whether "the Galaxy" refers specifically to the Milky Way and the importance of the radio telescope's orientation. It is suggested that only stars closer to the galactic center than the Solar system can be accurately measured, as they are the only ones moving directly towards or away from Earth. The conversation emphasizes the geometric nature of the measurement and the necessity for additional details to formulate a comprehensive answer.
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TL;DR Summary: Completely clueless on how to answer this question, came up as part of an assessed lab script

Why does 21-cm emission only give the rotation curve of the Galaxy at galactocentric radii less than that of the Solar system?

The lab script asking this question made zero clarification on how to begin answering it, as have internet searches. Completely clueless.
 
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jqmhelios said:
TL;DR Summary: Completely clueless on how to answer this question, came up as part of an assessed lab script

Why does 21-cm emission only give the rotation curve of the Galaxy at galactocentric radii less than that of the Solar system?

The lab script asking this question made zero clarification on how to begin answering it, as have internet searches. Completely clueless.
Reading this, it sounds like there is context or language omitted from this question (possibly discernible from the overall total package and not the specific question) that is necessary to understand what is being asked.

For example, is "the Galaxy" the Milky Way galaxy, or any particular arbitrary galaxy that is being observed?

Which way is the radio-telescope pointed?
 
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jqmhelios said:
TL;DR Summary: Completely clueless on how to answer this question, came up as part of an assessed lab script

Why does 21-cm emission only give the rotation curve of the Galaxy at galactocentric radii less than that of the Solar system?

The lab script asking this question made zero clarification on how to begin answering it, as have internet searches. Completely clueless.
You need to provide more details...

Does that measurement test the speed of the stars?

Are spectral lines of hydrogen used?

Does the measurement only take place if the star is moving either straight towards us or straight away from us? ( Earth - Solar System)

If this above is the case, then it is a simple geometric problem.

Only stars that are closer to the galactic center than the Sun can be caught in position when they are moving straight towards us or straight away from us.

I need to draw this to explain...
galaxy_rotation_H_I_line.png

Only the stars that are on this circle move either straight towards us or straight away from us.
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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