USAAAO 2026, I кръг — Задача 18
USAAAO 2026 - First Round · 9 февруари 2026 г.
Problem writers
Problem writers: Srihari (Hari) Balaji, Vincent Bian, Ferdinand, Hagan Hensley, Elizabeth Lee, Joe McCarty, Lucas Pinheiro, Feodor Yevtushenko
Условие
The most distant known galaxy, MoM-z14, was recently observed by the James Webb Space Telescope and has a redshift of . If the current cosmic microwave background (CMB) temperature is 2.725 K, what was the CMB temperature at MoM-z14?
(a) 0.1887 K
(b) 39.35 K
(c) 42.07 K
(d) 568.2 K
(e) 3208 K
Отговори
- C
Решение
Solution:
You can either directly use the relationship between temperature and scale factor or use Wien’s law. Redshift , so the original wavelength was shorter by a factor of . According to Wien’s law, is constant, so
Answer: C
Оригинал в Архива: usaaao_first_exam_2026.pdf · официални решения: usaaao_first_exam_solutions_2026.pdf