IOAA Jr. 2022, Теория, тест с избираем отговор — Задача 2. The Sun on the Horizon

International Olympiad of Astronomy and Space Sciences for Juniors — Romania– Câmpulung Moldovenesc — October 31 - November 7 2022 — Theoretical Round — I. Multiple choice problems – 100 points · 31 октомври 2022 г.

I. Multiple choice problems – 100 points

For these problems, you have to choose only one correct answer. Please write your answer on answer-sheet. Don’t forget to write the number of the problem, i.e Grid 1. (c).

Условие

The astronomical refraction correction, ρr\rho_{\mathrm{r}}, has the minimum value, ρr,min=0\rho_{\mathrm{r,min}} = 0, when the star is at the zenith of the Earth's surface observer (z=0;h=900)\left(z = 0; h = 90^{0}\right), and has the maximum value, ρr,max\rho_{\mathrm{r,max}}, when the star, whose light passes through the Earth's atmosphere, in order to reach the Earth's surface observer, is at the horizon (z=900;h=0)\left(z = 90^{0}; h = 0\right), that is, when the star rises or sets.

It is known, that for an observer, atmospheric refraction raises the Sun in the moments of sunrise and sunset, that is, when it is below the horizon, approximately at its edge, by an apparent disk.

It is given: the radius of the Sun, RS=6.96⋅105 kmR_S = 6.96 \cdot 10^{5}\ km the distance between the centre of the Earth and the centre of the Sun, d=15⋅107 kmd = 15 \cdot 10^{7}\ km.

The value of ρr,max\rho_{r,max} ,is:

a) ρr,max≈23.7′\rho_{r,max} \approx 23.7'

b) ρr,max≈43.7′\rho_{r,max} \approx 43.7'

c) ρr,max≈53.7′\rho_{r,max} \approx 53.7'

d) ρr,max≈33.7′\rho_{r,max} \approx 33.7'

Отговори

Решение


Оригинал в Архива: Multiple_Choice.pdf · официални решения: Grid_1.pdf · допълнителни данни: Grid_2.pdf · допълнителни данни: Grid_3.pdf · допълнителни данни: Grid_4.pdf · допълнителни данни: Grid_5.pdf · допълнителни данни: Grid_6.pdf · допълнителни данни: Grid_7.pdf · допълнителни данни: Grid_8.pdf · допълнителни данни: Grid_9.pdf · допълнителни данни: Grid_10.pdf