2018年IAO理论低年组第1题-水银镜面

英文题目

Mercury mirror. As you know. If one rotates a vessel with mercury, its surface will take a parabolic form. A kiquid mirror obtained in this wan can be used as the main mirror of a telescope. The Polar Bear-astronomer living in the Arctic decided to use this idea and build such a telescope exactly at the Norht Pole, and use the daile revolution of the Earth as the rotation mechanism so that the main mirror would have a long focal length.

1.1. Is tge Polar Bear idea feasible? (Write "Yes" or "No"in English.)If yes, then find the focal length of the resulting liquid mirror, and if not, prove your conclusion by doing the necessary calculations and drawings.

1.2. Include an artistic picture with an image of the Bear-astronomer, engaged in the implementation of his project.