Никола 2019, 7 септември — Задача 4. 1. Telescope

7 септември 2018г.

Внимание: Бележка към темата

Сборен лист без отпечатано име на състезание; решения няма в архива.

Условие

1. Telescope. On the observational round you will use a simple Newton-system telescope with the mirror diameter D = 125 mm, focal length F = 1025 mm and 3 eye-pieces with focal lengths f1f_1 = 12 mm, f2f_2 = 25 mm and f3f_3 = 38 mm. Find on what distances (Δx1\Delta x_1 =, Δx2\Delta x_2 =, Δx3\Delta x_3 = in vertical direction on the middle figure) it is necessary to move the corresponding eye-pieces (1,2,3) to readjust the telescope from observation of the sky objects to observation of a monkey sitting at a distance L = 50 m from you. (Your answer should have both formula and numerical values.) What eyepiece is the most suitable for observation of the monkey? Why?

Addition for β\beta group.

1+β. Telescope. L = 50 м as before, but now the monkey is running directly towards you (to steal something to eat) with a speed v = 3 m/s. Find the rate (in mm/s) of moving the most suitable eye-piece for readjusting the telescope to keep the monkey in focus.

Решение

Внимание: Непълно решение

В архива липсва файл с решения


Оригинал в Архива: 7092019.pdf