How to find the minimum angular resolution?

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Homework Help Overview

The discussion revolves around calculating the minimum angular resolution for a telescope observing ultraviolet light with a wavelength of 240 nm and a diameter of 2.40 m. The original poster attempts to apply the formula θ = 1.22 λ / D to find the angular resolution.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the application of the angular resolution formula and question the validity of the book's answer, suggesting a potential error. There is also a focus on verifying the calculations and understanding the implications of the results.

Discussion Status

The discussion is ongoing, with participants questioning the accuracy of the book's answer and clarifying the calculations made by the original poster. Some guidance has been offered regarding the interpretation of the results, but no consensus has been reached.

Contextual Notes

There is a mention of a potential typo in the calculations, which has led to confusion regarding the results. Participants are also discussing the limits of angular resolution in relation to physical constraints.

Nat1234123
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Homework Statement


λ = 240 nm
D = 2.40 m
We are supposed to find the angle resolution (minimum angular distance between two objects so we
still see them as two separate objects) to the telescope for ultraviolet light with wavelength 240 nm

Homework Equations


The equation that I used is θ = 1.22 \frac{λ}{D}

The Attempt at a Solution


θ = 1.22 \frac{λ}{D} and putting the values in, in meters. However, my answer was 1.99 * 10^-7, the answer according to the book is 7 * 10^6
 
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Obviously, the answer in the book is wrong. You can't have an angular resolution that high. In fact you can't have an angular resolution greater than π. How did you get 1.99 from 1.22? What is the ratio 240 nm/2.4 m?
 
kuruman said:
Obviously, the answer in the book is wrong. You can't have an angular resolution that high. In fact you can't have an angular resolution greater than π. How did you get 1.99 from 1.22? What is the ratio 240 nm/2.4 m?
Sorry, it was a typo. I did get 1.22, my apologies.
 
Nat1234123 said:
Sorry, it was a typo. I did get 1.22, my apologies.
Then your answer is correct.
 

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