- #1
shanepitts
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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
Thank you for your detailed responsecollinsmark said: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.
Angular resolution is a measure of the smallest angle that can be distinguished by an optical or imaging system. It is a measure of the system's ability to distinguish between two closely spaced objects or details in an image.
Angular resolution is typically measured in units of arcseconds (arcsec). It is calculated by dividing the wavelength of light by the diameter of the aperture or lens used in the system. The smaller the resulting value, the higher the angular resolution.
Angular resolution is important in scientific research because it allows for the detection and analysis of small details and structures in images. This is crucial in fields such as astronomy, where precise measurements of celestial objects are necessary.
Angular resolution can be improved by increasing the diameter of the aperture or lens used in the system, using adaptive optics or image processing techniques, and reducing atmospheric distortion through the use of telescopes or satellite imaging.
Several factors can affect angular resolution, including the wavelength of light, the diameter of the aperture or lens, the quality of the optics used, and atmospheric conditions. Other external factors such as vibration, thermal noise, and camera pixel size can also impact the system's ability to resolve small details.