{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"mmlu-pro","formal_name":"MMLU-Pro","introduction":"MMLU-Pro rebuilds MMLU with ten answer options instead of four and removes items that no longer separate models. Questions span fourteen academic and professional subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/TIGER-Lab/MMLU-Pro","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"db12be5b-b425-5c74-a7dc-5b5e15a718a8","task_key":"default--test--9857","task_revision_id":"1","upstream_id":"9857","short_description":"(a) A filter represented as filter #1 has a thickness of 2mm. In addition, its…","config":"default","split":"test","body":"{\"category\":\"physics\",\"options\":\"[\\\"\\\\\\\\( v_1\\\\\\\\lambda = 0.2518, \\\\\\\\delta_1\\\\\\\\lambda' = 0.215, \\\\\\\\tau_1\\\\\\\\lambda' = 0.6295 \\\\\\\\)\\\", \\\"\\\\\\\\( v_1\\\\\\\\lambda = 0.560, \\\\\\\\delta_1\\\\\\\\lambda' = 0.2518, \\\\\\\\tau_1\\\\\\\\lambda' = 0.235 \\\\\\\\)\\\", \\\"v_1\\\\\\\\lambda = 0.560, \\\\\\\\delta_1\\\\\\\\lambda' = 0.6295, \\\\tau_1\\\\\\\\lambda' = 0.215\\\", \\\"\\\\\\\\( v_1\\\\\\\\lambda = 0.6295, \\\\\\\\delta_1\\\\\\\\lambda' = 0.512, \\\\\\\\tau_1\\\\\\\\lambda' = 0.215 \\\\\\\\)\\\", \\\"v_1\\\\\\\\lambda = 0.512, \\\\\\\\delta_1\\\\\\\\lambda' = 0.2518, \\\\tau_1\\\\\\\\lambda' = 0.235\\\", \\\"\\\\\\\\( v_1\\\\\\\\lambda = 0.512, \\\\\\\\delta_1\\\\\\\\lambda' = 0.560, \\\\\\\\tau_1\\\\\\\\lambda' = 0.6295 \\\\\\\\)\\\", \\\"v_1\\\\\\\\lambda = 0.6295, \\\\\\\\delta_1\\\\\\\\lambda' = 0.215, \\\\tau_1\\\\\\\\lambda' = 0.560\\\", \\\"\\\\\\\\( v_1\\\\\\\\lambda = 0.215, \\\\\\\\delta_1\\\\\\\\lambda' = 0.235, \\\\\\\\tau_1\\\\\\\\lambda' = 0.2518 \\\\\\\\)\\\", \\\"v_1\\\\\\\\lambda = 0.215, \\\\\\\\delta_1\\\\\\\\lambda' = 0.560, \\\\tau_1\\\\\\\\lambda' = 0.6295\\\", \\\"\\\\\\\\( v_1\\\\\\\\lambda = 0.235, \\\\\\\\delta_1\\\\\\\\lambda' = 0.6295, \\\\\\\\tau_1\\\\\\\\lambda' = 0.512 \\\\\\\\)\\\"]\",\"question\":\"(a) A filter represented as filter #1 has a thickness of 2mm. In addition, its transmittance \\\\tau_1\\\\lambda = 0.512 and its internal optical density \\\\delta_1\\\\lambda = 0.2518 . Compute the internal transmittance v_1\\\\lambda of filter 1. (b) Now consider filter #1', which is composed of the same glass as is filter #1, but which has a thickness of 5mm. If the internal transmittance v_1\\\\lambda' of filter #1' is 0.235, determine the values of the internal optical density \\\\delta_1\\\\lambda' and the transmittance \\\\tau_1\\\\lambda' of filter #1'. In this problem, the computations are to be carried out for normal incidence of light, and with a constant relative refractive index between the filters and the surrounding media of n = 1.53.\",\"src\":\"stemez-Optics\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/TIGER-Lab/MMLU-Pro","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}