{"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":"27ff3fde-b3e9-5734-8545-aee66ae12b19","task_key":"olympiad--test--710c1336~2d0995~2d4d45~2dbfea~2d48ff475f255f","task_revision_id":"1","upstream_id":"710c1336-0995-4d45-bfea-48ff475f255f","short_description":"A dielectric sphere of radius \\\\( a \\\\) and absolute permittivity \\\\(…","config":"olympiad","split":"test","body":"{\"problem\":\"A dielectric sphere of radius \\\\\\\\( a \\\\\\\\) and absolute permittivity \\\\\\\\( \\\\\\\\varepsilon \\\\\\\\) is moving in a magnetic field `\\\\(\\\\vec{B}=-B_{0}\\\\hat{y}\\\\)` with constant velocity `\\\\(\\\\vec{v}=v\\\\hat{z}\\\\)`. Assume that `\\\\(v\\\\)` is much smaller than the speed of light. At the instant when the center of the sphere passes through the origin of the coordinates, find the electric field \\\\\\\\( \\\\\\\\vec{E} \\\\\\\\) outside the sphere in terms of \\\\\\\\( v \\\\\\\\), \\\\\\\\( B_0 \\\\\\\\), \\\\\\\\( a \\\\\\\\) and the distance to the center of the sphere \\\\\\\\( r \\\\\\\\). Leave your answer in vector form, not as a function of angles.\\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":[]}