{"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":"eedb40af-1f45-5a64-ab78-4a9d14b36c6f","task_key":"default--test--4175","task_revision_id":"1","upstream_id":"4175","short_description":"Assume that the charge of the proton is distributed uniformly throughout the…","config":"default","split":"test","body":"{\"category\":\"chemistry\",\"options\":\"['1.4 $10^{-8} \\\\\\\\mathrm{eV}$', '2.0 $10^{-8} \\\\\\\\mathrm{eV}$', '1.2 $10^{-8} \\\\\\\\mathrm{eV}$', '3.0 $10^{-8} \\\\\\\\mathrm{eV}$', '0.4 $10^{-8} \\\\\\\\mathrm{eV}$', '2.4 $10^{-8} \\\\\\\\mathrm{eV}$', '0.8 $10^{-8} \\\\\\\\mathrm{eV}$', '2.8 $10^{-8} \\\\\\\\mathrm{eV}$', '0.6 $10^{-8} \\\\\\\\mathrm{eV}$', '1.6 $10^{-8} \\\\\\\\mathrm{eV}$']\",\"question\":\"Assume that the charge of the proton is distributed uniformly throughout the volume of a sphere of radius $10^{-13} \\\\mathrm{~cm}$. Use perturbation theory to estimate the shift in the ground-state hydrogen-atom energy due to the finite proton size. The potential energy experienced by the electron when it has penetrated the nucleus and is at distance $r$ from the nuclear center is $-e Q / 4 \\\\pi \\\\varepsilon_0 r$, where $Q$ is the amount of proton charge within the sphere of radius $r$. The evaluation of the integral is simplified by noting that the exponential factor in $\\\\psi$ is essentially equal to 1 within the nucleus.\\n\",\"src\":\"scibench-quan\"}","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":[]}