{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"frontierscience","formal_name":"FrontierScience","introduction":"専門的な科学課題を解く能力を評価するベンチマークです。公開データはolympiadとresearchに分かれ、競技問題と研究課題を区別して扱います。\n\nFrontierScience evaluates the ability to solve expert-level scientific tasks. Its public data separates olympiad and research problems so that competition and research tasks can be examined independently.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/openai/frontierscience","indexing_mode":"noindex"},"task_id":"c66397c4-68c6-581a-85d0-c5b82b08f8b8","task_key":"olympiad--test--516da073~2d8d2a~2d4db5~2da739~2dc752655ec14c","task_revision_id":"1","upstream_id":"516da073-8d2a-4db5-a739-c752655ec14c","short_description":"Consider a long straight conducting cylinder with a radius of `\\(a\\)`, the…","config":"olympiad","split":"test","body":"{\"problem\":\"Consider a long straight conducting cylinder with a radius of `\\\\(a\\\\)`, the central axis of the cylinder as the `\\\\(z\\\\)`-axis, and located at `\\\\(x=y=0\\\\)`, placed in a uniform external electric field `\\\\(\\\\overrightarrow{E}_0=E_0 \\\\hat{x}\\\\)`. Apply cylindrical coordinates (where \\\\\\\\(\\\\\\\\theta\\\\\\\\) is measured anticlockwise from the polar axis) to this system where the `\\\\(x\\\\)`-axis is aligned to the polar axis (\\\\\\\\(\\\\\\\\theta = 0\\\\\\\\)). Assume all physical quantities are independent of the `\\\\(z\\\\)` coordinate. If the potential at the conducting cylinder is `\\\\(0\\\\)`, find the electric field distribution `\\\\(E(r,\\\\theta)\\\\)` outside the conductor, in terms of \\\\\\\\(E_0, a, r, \\\\\\\\theta, \\\\\\\\hat{r}, \\\\\\\\hat{\\\\\\\\theta} \\\\\\\\).\\n\\nThink step by step and solve the problem below. At the end of your response, write your final answer on a new line starting with “FINAL ANSWER”. It should be an answer to the question such as providing a number, mathematical expression, formula, or entity name, without any extra commentary or providing multiple answer attempts.\",\"subject\":\"physics\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/openai/frontierscience","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}