| {"id": "AST physics - 110 - 1", "question": "關於目前所觀測到的宇宙, 下列敘述或推論何者正確?", "A": "宇宙微波背景輻射是目前已觀測到的所有電磁波訊號中, 最古老的訊號", "B": "某星系發出的光譜線有紅移現象, 代表該星系正在靠近觀測者", "C": "宇宙微波背景輻射自誕生至今, 其溫度一直都是低於 $5 \\mathrm{~K}$", "D": "越近處的宇宙現象顯示的是宇宙演化越早期的樣貌", "E": "宇宙越遠處星體的遠離速率越慢", "F": null, "answer": "A", "explanation": "", "metadata": {"timestamp": "2023-10-16T22:05:11.877241", "source": "AST physics - 110", "explanation_source": ""}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "AST physics - 111 - 3", "question": "一部汽車以等速度 $10.0 \\mathrm{~m} / \\mathrm{s}$ 沿水平車道前行, 駕駛發現前方 $24.5 \\mathrm{~m}$ 處的單車沿同一直線與方向前進, 於是立刻繁車而以等加速度 $-a$ 繼續前行。若單車一直以等速度 $3.00 \\mathrm{~m} / \\mathrm{s}$前進, 而兩車不會相撞, 則 $a$ 至少約需大於下列何者? 注：在等速度運動的坐標系中,牛頓運動定律都能成立。", "A": "$\\frac{(10.0)^{2}}{2 \\times 24.5} \\mathrm{~m} / \\mathrm{s}^{2}=2.04 \\mathrm{~m} / \\mathrm{s}^{2}$", "B": "$\\frac{\\left[(10.0)^{2}-2 \\times 10.0 \\times 3.00\\right]}{2 \\times 24.5} \\mathrm{~m} / \\mathrm{s}^{2}=0.82 \\mathrm{~m} / \\mathrm{s}^{2}$", "C": "$\\frac{\\left[(10.0)^{2}-(3.00)^{2}\\right]}{2 \\times 24.5} \\mathrm{~m} / \\mathrm{s}^{2}=1.86 \\mathrm{~m} / \\mathrm{s}^{2}$", "D": "$\\frac{(10.0-3.00)^{2}}{2 \\times 24.5} \\mathrm{~m} / \\mathrm{s}^{2}=1.0 \\mathrm{~m} / \\mathrm{s}^{2}$", "E": "$\\frac{\\left[(10.0)^{2}-2 \\times 10.0 \\times 3.00\\right]}{24.5} \\mathrm{~m} / \\mathrm{s}^{2}=1.64 \\mathrm{~m} / \\mathrm{s}^{2}$", "F": null, "answer": "D", "explanation": "", "metadata": {"timestamp": "2023-10-16T22:05:11.878552", "source": "AST physics - 111", "explanation_source": ""}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "AST physics - 112 - 4", "question": "空間中有相距 $2 d$ 的兩靜止點電荷, 已知將此兩點電荷緩慢移近至相距 $d$ 靜止, 需作功 $W$。 若再將兩點電荷緩慢移近至相距 $d / 5$ 靜止, 則需再作多少功? \\\\ \n", "A": "$5 \\mathrm{~W}$", "B": "$10 \\mathrm{~W}$", "C": "$W$", "D": "$8 W$", "E": "$4 W$", "F": null, "answer": "D", "explanation": "", "metadata": {"timestamp": "2023-10-16T22:05:11.882220", "source": "AST physics - 112", "explanation_source": ""}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "AST physics - 109_補 - 14", "question": "波長為 $640 \\mathrm{~nm}$ 的平行光束垂直照射寬度為 $0.060 \\mathrm{~mm}$ 的單狹縫, 再正向投射在距離單狹縫 $1.0 \\mathrm{~m}$ 的屏幕上, 並在屏幕出現亮暗相間的條紋。若單狹縫寬度方向的兩邊緣至屏幕上 $\\mathrm{P}$ 點處的光程差恰為三個波長, 則 $\\mathrm{P}$ 點至屏幕中央亮帶的中心線之距離為多少 $\\mathrm{cm}$ ?", "A": "6.4", "B": "0.36", "C": "6.0", "D": "3.2", "E": "64", "F": null, "answer": "D", "explanation": "", "metadata": {"timestamp": "2023-10-16T22:05:11.879931", "source": "AST physics - 109_補", "explanation_source": ""}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "AST physics - 111 - 4", "question": "進行焦耳實驗時, 使兩個質量各為 $0.42 \\mathrm{~kg}$ 的重錘落下 $1.0 \\mathrm{~m}$, 以帶動葉片旋轉, 攪動容器內 $2.0 \\mathrm{~L}$ 的水。已知水的比熱為 $4.2 \\mathrm{~kJ} /(\\mathrm{kg} \\cdot \\mathrm{K})$, 水所散失的熱量可忽略, 重力加速度 $g=10 \\mathrm{~m} / \\mathrm{s}^{2}$, 則攪動後水溫上升約為何?", "A": "$0.10 \\mathrm{~K}$", "B": "$1.0 \\mathrm{~K}$", "C": "$10 \\mathrm{~K}$", "D": "$0.010 \\mathrm{~K}$", "E": "$0.0010 \\mathrm{~K}$", "F": null, "answer": "E", "explanation": "", "metadata": {"timestamp": "2023-10-16T22:05:11.878558", "source": "AST physics - 111", "explanation_source": ""}, "human_evaluation": {"quality": "", "comments": ""}} | |