USAAAO 2024, I кръг — Задача 17
USAAAO 2024 - First Round · 10 февруари 2024 г.
Problem writers
Wesley Andrade, Abhay Bestrapalli, Austin Chen, Justin Chen, Ved Gund, Hagan Hensley, Sandesh Kalantre, Evan Kim, David Lee, Joe McCarty, Arjun Patel, Sahil Pontula, Tara Rezaei, Raul Teixeira, Leo Yao, David Zhang
Условие
The Extremely Large Telescope (ELT) is an optical telescope under construction in Chile. The primary mirror has been planned to have a diameter of 39.3 m making it largest optical telescope ever built. One of the goals for this telescope is the direct imaging of exoplanets. Consider an exoplanet at a distance of 1 A.U. from a star. What is the maximum distance from Earth of such a star-exoplanet system in which the ELT can resolve the exoplanet separately from the star? Ignore atmospheric seeing and assume optical wavelength to be 500 nm.
(a) 112 pc
(b) 212 pc
(c) 312 pc
(d) 412 pc
(e) 512 pc
Отговори
- C
Решение
Solution: Use the Rayleigh criterion to calculate the best-case resolution
where is the diameter of the primary mirror.
The maximum distance to the stellar system is calculated as . Converting A.U. to parsecs, we get pc.
Answer: C
Оригинал в Архива: usaaao_first_exam_2024-3.pdf · официални решения: usaaao_first_exam_2024_solutions-1.pdf