- #1
shanepitts
- 84
- 1
Homework Statement
Homework Equations
θ=1.22 (λ/D)
The Attempt at a Solution
Just want to know if I properly answered this question.
Thanks in advance
Did I Properly Answer the Angular Resolution Question?
- Thread starter shanepitts
- Start date
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Homework Help Overview
The discussion revolves around an angular resolution question related to the use of a specific formula, θ=1.22 (λ/D), in the context of radio and optical wavelengths. Participants are examining the appropriateness of wavelength choices in relation to the GMRT's operational capabilities.
Discussion Character
- Exploratory, Assumption checking, Conceptual clarification
Approaches and Questions Raised
- Participants discuss the correctness of the original poster's methodology and the selection of typical wavelengths. There are questions about the expected range of wavelengths and their implications for the problem at hand.
Discussion Status
Some participants have confirmed the methodology as correct but express uncertainty regarding the selection of wavelengths. There is an acknowledgment of the operational range of the GMRT and its relevance to the problem, with no explicit consensus reached on the appropriateness of the wavelength choices.
Contextual Notes
Participants note that the GMRT operates over a wide range of frequencies, which complicates the selection of typical wavelengths. There is also mention of atmospheric effects on radio wavelengths larger than 10m, which may influence the discussion.
θ=1.22 (λ/D)
Just want to know if I properly answered this question.
Thanks in advance
- #2
collinsmark
Science Advisor
Homework Helper
- 3,445
- 3,595
Yes, your methodology is correct.
The only thing I can not confirm is how you are expected to choose the typical wavelengths involved. The GMRT is capable of operating on many frequencies in different bands -- altogether the range is greater than an order of magnitude from highest to lowest wavelength. Although yes, 1 m is within that range, if you're just looking for a ballpark figure.
Similarly, we can say the same thing about the optical wavelength (where 500 nm is typical), although it is a much narrower range (much less than 1 order of magnitude).
So anyway, I'm guessing that your approach is fine. Your usage of the formulae is good. I think your choices of wavelengths are good for ballpark figures, but I can't say for sure that you are supposed to be looking for ballpark figures.
The only thing I can not confirm is how you are expected to choose the typical wavelengths involved. The GMRT is capable of operating on many frequencies in different bands -- altogether the range is greater than an order of magnitude from highest to lowest wavelength. Although yes, 1 m is within that range, if you're just looking for a ballpark figure.
Similarly, we can say the same thing about the optical wavelength (where 500 nm is typical), although it is a much narrower range (much less than 1 order of magnitude).
So anyway, I'm guessing that your approach is fine. Your usage of the formulae is good. I think your choices of wavelengths are good for ballpark figures, but I can't say for sure that you are supposed to be looking for ballpark figures.
- #3
shanepitts
- 84
- 1
Thank you for your detailed responsecollinsmark said:
- #4
paisiello2
- 907
- 88
I think radio wavelengths larger than 10m are blocked by the atmosphere.
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