USAAAO 2024, I кръг — Задача 25
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
There is a galaxy at redshift 0.5 for which we have a measurement for apparent bolometric magnitude to be 22. With a standard candle in that galaxy, we have found its luminosity distance to Earth to be 2.8 Gpc. Estimate the luminosity of this galaxy.
(a)
(b)
(c)
(d)
(e)
Отговори
- A
Решение
Solution:
From the luminosity distance in parsecs and the apparent magnitude , we can calculate the absolute magnitude of the galaxy:
The absolute magnitude of this galaxy is -20.24. From the absolute magnitude we can calculate the luminosity of the star in terms of zero-point luminosity W as:
The luminosity . Hence, .
Answer: A
Оригинал в Архива: usaaao_first_exam_2024-3.pdf · официални решения: usaaao_first_exam_2024_solutions-1.pdf