USAAAO 2022, I кръг — Задача 19

USAAAO 2022 - First Round · 5 февруари 2022 г.

Условие

The resolution of a space telescope is theoretically limited by diffraction from its primary mirror. In this problem, we will compare the diffraction limit of the Hubble Space Telescope (HST) (primary mirror diameter $d = 2.4\,\mathrm{m}$) and the James Webb Space Telescope (JWST) ($d = 6.5\,\mathrm{m}$). The operating wavelengths for the two telescopes are $500\,\mathrm{nm}$ and $10\,\mathrm{\mu m}$ respectively. Calculate the ratio of the diffraction limited angular resolution $\frac{\theta(\mathrm{HST})}{\theta(\mathrm{JWST})}$. Which telescope can resolve smaller angular features if limited only by diffraction?

(a) 0.014, JWST

(b) 0.14, HST

(c) 1.4, JWST

(d) 14, HST

(e) 140, JWST

Отговори

Решение

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Оригинал в Архива: usaaao_first_exam_2022_problems.pdf · официални решения: usaaao_first_exam_2022_solutions-1.pdf