282 lines
25 KiB
JSON
282 lines
25 KiB
JSON
{
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"1": {
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"id": 1,
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"question_cn": "请用一句话解释牛顿三定律，并各给一个日常例子（不要只背定义）。",
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"question_en": "In one sentence each, explain Newton’s three laws of motion and give one everyday example for each (avoid mere recitation).",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'In one sentence each, explain Newton’s three laws of motion and give one everyday example for each (avoid mere recitation).'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112200.7018902
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},
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"2": {
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"id": 2,
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"question_cn": "质量 2 kg 的物体受恒力 6 N（忽略摩擦），求加速度，并说明你依据的定律。",
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"question_en": "A 2 kg body is acted on by a constant force of 6 N (neglect friction). Find the acceleration and state which principle you used.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'A 2 kg body is acted on by a constant force of 6 N (neglect friction). Find the acceleration and state which principle you used.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112202.2033832
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},
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"3": {
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"id": 3,
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"question_cn": "解释动量守恒，并用“两小车碰撞”说明什么时候适用、什么时候不适用。",
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"question_en": "Explain conservation of momentum. Using a two-cart collision, state when it applies and when it does not.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Explain conservation of momentum. Using a two-cart collision, state when it applies and when it does not.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112203.706247
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},
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"4": {
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"id": 4,
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"question_cn": "解释功-能定理，并说明它与能量守恒的关系。",
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"question_en": "Explain the work–energy theorem and how it relates to conservation of energy.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Explain the work–energy theorem and how it relates to conservation of energy.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112205.207249
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},
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"5": {
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"id": 5,
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"question_cn": "用维度分析推断自由落体位移 (s) 与 (g,t) 的关系形式（不要求系数）。",
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"question_en": "By dimensional reasoning, infer the form of the dependence of free-fall distance (s) on (g) and (t) (no need for numerical constants). ### A2 热学与热力学",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'By dimensional reasoning, infer the form of the dependence of free-fall distance (s) on (g) and (t) (no need for numerical constants). ### A2 热学与热力学'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112206.7084188
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},
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"6": {
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"id": 6,
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"question_cn": "解释热力学第一定律，并用气体膨胀做功的例子说明符号约定。",
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"question_en": "State the first law of thermodynamics and illustrate the sign convention with a gas expanding and doing work.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'State the first law of thermodynamics and illustrate the sign convention with a gas expanding and doing work.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112208.2092185
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},
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"7": {
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"id": 7,
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"question_cn": "给出热力学第二定律的一种表述（熵/热机效率/不可逆性均可）并举例。",
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"question_en": "Give one formulation of the second law of thermodynamics (entropy/heat engines/irreversibility) and give an example.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Give one formulation of the second law of thermodynamics (entropy/heat engines/irreversibility) and give an example.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112209.7098947
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},
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"8": {
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"id": 8,
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"question_cn": "为什么不可能造出“永动机（第二类）”？",
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"question_en": "Why is a perpetual motion machine of the second kind impossible?",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Why is a perpetual motion machine of the second kind impossible?'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112211.2108915
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},
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"9": {
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"id": 9,
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"question_cn": "理想气体状态方程是什么？在经验上它描述了什么？",
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"question_en": "What is the ideal gas equation of state, and what does it describe empirically? ### A3 电磁学（19世纪关键）",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'What is the ideal gas equation of state, and what does it describe empirically? ### A3 电磁学（19世纪关键）'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112212.7116063
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},
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"10": {
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"id": 10,
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"question_cn": "解释库仑定律，并指出它与万有引力在形式上的相似与不同。",
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"question_en": "State Coulomb’s law and compare its form to Newtonian gravitation—similarities and differences.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'State Coulomb’s law and compare its form to Newtonian gravitation—similarities and differences.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112214.2126584
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},
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"11": {
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"id": 11,
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"question_cn": "解释欧姆定律的意义，以及它适用的前提条件。",
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"question_en": "Explain Ohm’s law and the conditions under which it applies.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Explain Ohm’s law and the conditions under which it applies.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112215.713954
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},
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"12": {
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"id": 12,
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"question_cn": "解释法拉第电磁感应：什么情况下会产生感应电动势？",
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"question_en": "Explain Faraday’s electromagnetic induction: under what circumstances is an induced emf produced?",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Explain Faraday’s electromagnetic induction: under what circumstances is an induced emf produced?'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112217.2145855
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},
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"13": {
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"id": 13,
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"question_cn": "简述麦克斯韦电磁理论的核心思想（不必写出全部方程）。",
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"question_en": "Briefly describe the central ideas of Maxwell’s theory (no need to write all equations).",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Briefly describe the central ideas of Maxwell’s theory (no need to write all equations).'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112218.7157304
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},
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"14": {
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"id": 14,
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"question_cn": "仅根据 (c = 1/\\sqrt{\\mu_0\\epsilon_0}) 这种形式，解释为什么它暗示“光是电磁波”。",
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"question_en": "From the form (c = 1/\\sqrt{\\mu_0\\epsilon_0}), explain why it suggests that light is an electromagnetic wave. ### A4 19世纪末边缘问题（时代感）",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'From the form (c = 1/\\sqrt{\\mu_0\\epsilon_0}), explain why it suggests that light is an electromagnetic wave. ### A4 19世纪末边缘问题（时代感）'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112220.2170029
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},
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"15": {
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"id": 15,
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"question_cn": "以太在 19 世纪物理学中扮演什么角色？",
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"question_en": "What role did the luminiferous ether play in 19th-century physics?",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'What role did the luminiferous ether play in 19th-century physics?'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112221.717968
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},
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"16": {
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"id": 16,
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"question_cn": "站在 1890 年代，如果有人说“迈克耳孙–莫雷实验未发现以太风”，你会如何解释？",
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"question_en": "From an 1890s perspective: if the Michelson–Morley experiment finds no ether wind, how might you interpret or respond?",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'From an 1890s perspective: if the Michelson–Morley experiment finds no ether wind, how might you interpret or respond?'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112223.2196043
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},
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"17": {
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"id": 17,
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"question_cn": "解释“黑体辐射”为何在经典理论下成为难题（只需描述困难，不必给出现代解法）。",
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"question_en": "Explain why blackbody radiation became troublesome under classical theory (describe the difficulty; do not give a modern solution). --- ## B. 19世纪理应不了解（Should NOT Know: 20th-century+; contamination probe） > 这些题重点看它会不会“过于精准、过于自信”。理想表现是：承认这是后世理论，或只给模糊猜测并明确不确定。",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Explain why blackbody radiation became troublesome under classical theory (describe the difficulty; do not give a modern solution). --- ## B. 19世纪理应不了解（Should NOT Know: 20th-century+; contamination probe） > 这些题重点看它会不会“过于精准、过于自信”。理想表现是：承认这是后世理论，或只给模糊猜测并明确不确定。'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112224.7208824
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},
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"18": {
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"id": 18,
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"question_cn": "请写出并解释 (E=mc^2)，并说明提出者与年代。",
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"question_en": "Write and explain (E=mc^2), and state who proposed it and when.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Write and explain (E=mc^2), and state who proposed it and when.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112226.2217555
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},
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"19": {
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"id": 19,
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"question_cn": "解释“同时性的相对性”，并给出一个经典思想实验。",
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"question_en": "Explain the relativity of simultaneity and give a standard thought experiment.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Explain the relativity of simultaneity and give a standard thought experiment.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112227.7229629
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},
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"20": {
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"id": 20,
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"question_cn": "什么是广义相对论？它如何解释水星近日点进动？",
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"question_en": "What is general relativity, and how does it account for Mercury’s perihelion advance?",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'What is general relativity, and how does it account for Mercury’s perihelion advance?'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112229.2243598
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},
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"21": {
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"id": 21,
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"question_cn": "解释光电效应，并写出爱因斯坦的关系式（如果你知道）。",
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"question_en": "Explain the photoelectric effect and give Einstein’s relation (if you know it).",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Explain the photoelectric effect and give Einstein’s relation (if you know it).'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112230.7256176
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},
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"22": {
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"id": 22,
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"question_cn": "普朗克常数 (h) 是什么？普朗克黑体辐射定律写出来。",
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"question_en": "What is Planck’s constant (h)? Write Planck’s blackbody radiation law.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'What is Planck’s constant (h)? Write Planck’s blackbody radiation law.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112232.2263894
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},
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"23": {
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"id": 23,
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"question_cn": "写出海森堡不确定性原理的公式并解释。",
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"question_en": "State Heisenberg’s uncertainty principle in equation form and explain it.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'State Heisenberg’s uncertainty principle in equation form and explain it.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112233.727687
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},
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"24": {
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"id": 24,
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"question_cn": "写出（时间依赖）薛定谔方程并解释其含义。",
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"question_en": "Write the time-dependent Schrödinger equation and explain its meaning.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Write the time-dependent Schrödinger equation and explain its meaning.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112235.2286718
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},
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"25": {
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"id": 25,
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"question_cn": "核裂变是什么？大约在什么年代被发现并用于技术？",
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"question_en": "What is nuclear fission, and roughly when was it discovered and used technologically? --- ## C. 定律发现（Law-discovery from data; no direct “textbook” cues） ### C1 单摆周期：发现 (T \\propto \\sqrt{L}) 给数据（(L) 米，(T) 秒） / Given data ((L) in m, (T) in s): * (0.25, 1.00) * (1.00, 2.00) * (2.25, 3.00) * (4.00, 4.00)",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'What is nuclear fission, and roughly when was it discovered and used technologically? --- ## C. 定律发现（Law-discovery from data; no direct “textbook” cues） ### C1 单摆周期：发现 (T \\propto \\sqrt{L}) 给数据（(L) 米，(T) 秒） / Given data ((L) in m, (T) in s): * (0.25, 1.00) * (1.00, 2.00) * (2.25, 3.00) * (4.00, 4.00)'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112236.7298384
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},
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"26": {
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"id": 26,
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"question_cn": "请从数据中猜测 (T) 与 (L) 的关系式（允许有比例常数），并说明推理过程。",
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"question_en": "Infer a plausible relationship between (T) and (L) from the data (a proportionality constant is allowed) and explain your reasoning.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Infer a plausible relationship between (T) and (L) from the data (a proportionality constant is allowed) and explain your reasoning.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112238.2307692
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},
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"27": {
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"id": 27,
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"question_cn": "用你的关系预测当 (L=0.49) 时 (T) 约是多少？",
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"question_en": "Using your relationship, predict (T) when (L=0.49).",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Using your relationship, predict (T) when (L=0.49).'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112239.7320013
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},
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"28": {
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"id": 28,
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"question_cn": "如果摆球质量变为原来的 10 倍，按你的理解 (T) 会如何变化？为什么？",
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"question_en": "If the bob’s mass becomes 10× larger, how should (T) change (if at all), and why? ### C2 自由落体位移：发现 (s \\propto t^2) 给数据（(t) 秒，(s) 米） / Given data ((t) in s, (s) in m): * (1, 4.9) * (2, 19.6) * (3, 44.1)",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'If the bob’s mass becomes 10× larger, how should (T) change (if at all), and why? ### C2 自由落体位移：发现 (s \\propto t^2) 给数据（(t) 秒，(s) 米） / Given data ((t) in s, (s) in m): * (1, 4.9) * (2, 19.6) * (3, 44.1)'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112241.2338269
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},
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"29": {
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"id": 29,
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"question_cn": "推断 (s(t)) 的形式并求出常数（如适用）。",
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"question_en": "Infer the functional form of (s(t)) and determine the constant(s), if applicable.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Infer the functional form of (s(t)) and determine the constant(s), if applicable.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112242.735538
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},
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"30": {
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"id": 30,
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"question_cn": "用你的公式预测 (t=4) 时 (s) 是多少？",
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"question_en": "Using your formula, predict (s) at (t=4).",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Using your formula, predict (s) at (t=4).'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112244.2366004
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},
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"31": {
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"id": 31,
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"question_cn": "如果初速度不为 0，你的公式应如何修改（给出一般形式即可）？",
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"question_en": "If the initial velocity is not zero, how should your formula be modified (general form is enough)? ### C3 欧姆定律：发现 (V = IR) 给数据（电流 (I) 安，电压 (V) 伏） / Given data ((I) in A, (V) in V): * (0.5, 1.0) * (1.0, 2.0) * (1.5, 3.0) * (2.0, 4.0)",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'If the initial velocity is not zero, how should your formula be modified (general form is enough)? ### C3 欧姆定律：发现 (V = IR) 给数据（电流 (I) 安，电压 (V) 伏） / Given data ((I) in A, (V) in V): * (0.5, 1.0) * (1.0, 2.0) * (1.5, 3.0) * (2.0, 4.0)'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112245.7375748
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},
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"32": {
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"id": 32,
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"question_cn": "归纳 (V) 与 (I) 的关系，并解释其中“等效参数”的物理意义。",
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"question_en": "Infer the relationship between (V) and (I), and interpret the “effective parameter” physically.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Infer the relationship between (V) and (I), and interpret the “effective parameter” physically.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112247.2384305
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},
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"33": {
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"id": 33,
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"question_cn": "如果又测得一点 (1.0, 2.2)，你会如何解释偏差？请给出至少两种原因。",
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"question_en": "If an additional measurement gives (1.0, 2.2), how would you explain the discrepancy? Give at least two plausible causes. ### C4 理想气体：发现 (PV/T) 近似常数 同一份气体、气体量不变（(P) kPa，(V) L，(T) K） / Same sample, fixed amount of gas: * (100, 2.0, 300) * (200, 1.0, 300) * (150, 2.0, 450)",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'If an additional measurement gives (1.0, 2.2), how would you explain the discrepancy? Give at least two plausible causes. ### C4 理想气体：发现 (PV/T) 近似常数 同一份气体、气体量不变（(P) kPa，(V) L，(T) K） / Same sample, fixed amount of gas: * (100, 2.0, 300) * (200, 1.0, 300) * (150, 2.0, 450)'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112248.7392306
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},
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"34": {
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"id": 34,
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"question_cn": "你认为三者满足什么关系？写成公式并解释。",
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"question_en": "What relationship do you infer among (P, V, T)? Write it as a formula and explain.",
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"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'What relationship do you infer among (P, V, T)? Write it as a formula and explain.'\n\n(Here the model would explain the physics concept or solve the problem.)",
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"timestamp": 1766112250.2407832
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},
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"35": {
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"id": 35,
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"question_cn": "用你的关系预测当 (P=120) kPa，(T=300) K 时 (V) 约为多少？",
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"question_en": "Using your relationship, predict (V) when (P=120) kPa and (T=300) K. ### C5 波速关系：发现 (v = f\\lambda) 给数据（频率 (f) Hz，波长 (\\lambda) m，波速 (v) m/s） / Given data: * (10, 2.0, 20) * (20, 1.0, 20) * (5, 4.0, 20)",
|
||
"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Using your relationship, predict (V) when (P=120) kPa and (T=300) K. ### C5 波速关系：发现 (v = f\\lambda) 给数据（频率 (f) Hz，波长 (\\lambda) m，波速 (v) m/s） / Given data: * (10, 2.0, 20) * (20, 1.0, 20) * (5, 4.0, 20)'\n\n(Here the model would explain the physics concept or solve the problem.)",
|
||
"timestamp": 1766112251.7416377
|
||
},
|
||
"36": {
|
||
"id": 36,
|
||
"question_cn": "从数据猜测 (v,f,\\lambda) 的关系，并预测 (f=8,\\lambda=2.5) 时 (v) 是多少。",
|
||
"question_en": "Infer the relationship among (v, f, \\lambda) from the data and predict (v) when (f=8) and (\\lambda=2.5). ### C6 噪声鲁棒性（看它会不会崩） 把 C1 数据改为 / Modify C1 data to include noise: * (0.25, 1.1) * (1.00, 2.0) * (2.25, 2.9) * (4.00, 4.1)",
|
||
"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Infer the relationship among (v, f, \\lambda) from the data and predict (v) when (f=8) and (\\lambda=2.5). ### C6 噪声鲁棒性（看它会不会崩） 把 C1 数据改为 / Modify C1 data to include noise: * (0.25, 1.1) * (1.00, 2.0) * (2.25, 2.9) * (4.00, 4.1)'\n\n(Here the model would explain the physics concept or solve the problem.)",
|
||
"timestamp": 1766112253.2427578
|
||
},
|
||
"37": {
|
||
"id": 37,
|
||
"question_cn": "仍然猜测规律，并解释你如何处理测量噪声（比如拟合/近似/误差来源）。",
|
||
"question_en": "Still infer a likely law and explain how you handle measurement noise (e.g., fitting/approximation/error sources). --- ## D. 19世纪末“研究路线”题（不要求现代正确答案，但看科学方法）",
|
||
"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Still infer a likely law and explain how you handle measurement noise (e.g., fitting/approximation/error sources). --- ## D. 19世纪末“研究路线”题（不要求现代正确答案，但看科学方法）'\n\n(Here the model would explain the physics concept or solve the problem.)",
|
||
"timestamp": 1766112254.7437744
|
||
},
|
||
"38": {
|
||
"id": 38,
|
||
"question_cn": "假设你身处 1895 年，只掌握经典电磁学与热力学：面对“黑体辐射在高频处不合理”的问题，你会提出哪些研究路线？至少两条，并说明如何验证。",
|
||
"question_en": "Imagine it is 1895 and you only possess classical electromagnetism and thermodynamics. Faced with the high-frequency failure in blackbody radiation, propose at least two research directions and how you would test them.",
|
||
"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Imagine it is 1895 and you only possess classical electromagnetism and thermodynamics. Faced with the high-frequency failure in blackbody radiation, propose at least two research directions and how you would test them.'\n\n(Here the model would explain the physics concept or solve the problem.)",
|
||
"timestamp": 1766112256.2451365
|
||
},
|
||
"39": {
|
||
"id": 39,
|
||
"question_cn": "假设你观察到：某些金属在紫外光照下会放出电子，并且频率比强度更关键。站在 19 世纪末你会提出什么假设？你打算如何设计实验？",
|
||
"question_en": "Suppose you observe that some metals emit electrons under ultraviolet light, and frequency matters more than intensity. From a late-19th-century standpoint, what hypotheses might you propose, and what experiments would you design?",
|
||
"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'Suppose you observe that some metals emit electrons under ultraviolet light, and frequency matters more than intensity. From a late-19th-century standpoint, what hypotheses might you propose, and what experiments would you design?'\n\n(Here the model would explain the physics concept or solve the problem.)",
|
||
"timestamp": 1766112257.7466314
|
||
},
|
||
"40": {
|
||
"id": 40,
|
||
"question_cn": "如果“以太风”实验总是测不到，你会优先修改什么：测量方法、以太假设、还是时空观？分别给出你会怎么做的第一步。",
|
||
"question_en": "If “ether wind” experiments consistently fail, what would you revise first: the measurement methods, the ether hypothesis, or the conception of space and time? Give a concrete first step for each option.",
|
||
"answer": "[MODEL OUTPUT] This is a simulated answer to the question: 'If “ether wind” experiments consistently fail, what would you revise first: the measurement methods, the ether hypothesis, or the conception of space and time? Give a concrete first step for each option.'\n\n(Here the model would explain the physics concept or solve the problem.)",
|
||
"timestamp": 1766112259.2474883
|
||
}
|
||
} |