Transcript: Only_the_first_4_questions_20250625_074108.html

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    "slide": 1,
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        "text_description": "Multiple Choice Question\nQuestion 1 — Electric Potential in a Uniform Field\nA uniform electric field \\( \\vec E \\) points along +X. Point A is at the origin, B at (1 cm, 0), and C at (0, 1 cm). Which relation between their potentials is correct?\nA\n\\(V_A < V_B\\)\nB\n\\(V_A > V_B\\)\nC\n\\(V_A < V_C\\)\nD\n\\(V_A > V_C\\)\nHint:\nPotential drops along the field direction and remains constant on any plane perpendicular to \\( \\vec E \\).\nSubmit Answer\nCorrect!\nWell done. Since \\(V\\) decreases along +X, the origin is at a higher potential than point B.\nIncorrect\nRecall that \\(V\\) falls in the field direction and is unchanged perpendicular to it. Try again.\nconst correctOption = 1;\n        const answerCards = document.querySelectorAll('.answer-card');\n        const submitBtn = document.getElementById('slide-02-n4c7e9-submitBtn');\n        const feedbackCorrect = document.getElementById('slide-02-n4c7e9-feedback-correct');\n        const feedbackIncorrect = document.getElementById('slide-02-n4c7e9-feedback-incorrect');\n        \n        let selectedOption = null;\n        \n        answerCards.forEach((card, index) => {\n            card.addEventListener('click', () => {\n                answerCards.forEach(c => c.classList.remove('border-blue-500', 'bg-blue-50'));\n                card.classList.add('border-blue-500', 'bg-blue-50');\n                selectedOption = index;\n            });\n        });\n        \n        submitBtn.addEventListener('click', () => {\n            if (selectedOption === null) return;\n            \n            if (selectedOption === correctOption) {\n                feedbackCorrect.classList.remove('hidden');\n                feedbackIncorrect.classList.add('hidden');\n            } else {\n                feedbackIncorrect.classList.remove('hidden');\n                feedbackCorrect.classList.add('hidden');\n            }\n        });",
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    "slide": 2,
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        "text_description": "Multiple Choice Question\nQuestion 2 – Charged Spheres in Equilibrium\nTwo conducting spheres of radii\nr\n1\nand\nr\n2\nare joined by a thin wire and kept far apart. After they reach common potential, what is the ratio of the surface electric fields \\( |E_1| : |E_2| \\)?\n1\n\\( \\dfrac{r_{1}}{r_{2}} \\)\n2\n\\( \\dfrac{r_{2}}{r_{1}} \\)\n3\n\\( \\dfrac{r_{2}^{2}}{r_{1}^{2}} \\)\n4\n\\( \\dfrac{r_{1}^{2}}{r_{2}^{2}} \\)\nHint:\nAt equilibrium \\( V=\\dfrac{kq}{r} \\) on both spheres, so \\( E=\\dfrac{kq}{r^{2}}\\propto\\dfrac{1}{r} \\).\nSubmit Answer\nCorrect!\nWell done! Equal potential gives \\(E\\propto1/r\\); therefore \\(E_{1}/E_{2}=r_{2}/r_{1}\\).\nIncorrect\nRecall that connecting conductors equalises their potentials, leading to \\(E\\propto1/r\\). Try again!\nconst correctOption = 1;\n        const answerCards = document.querySelectorAll('.answer-card');\n        const submitBtn = document.getElementById('submitBtn');\n        const feedbackCorrect = document.getElementById('feedbackCorrect');\n        const feedbackIncorrect = document.getElementById('feedbackIncorrect');\n        \n        let selectedOption = null;\n        \n        answerCards.forEach((card, index) => {\n            card.addEventListener('click', () => {\n                answerCards.forEach(c => c.classList.remove('border-blue-500', 'bg-blue-50'));\n                card.classList.add('border-blue-500', 'bg-blue-50');\n                selectedOption = index;\n            });\n        });\n        \n        submitBtn.addEventListener('click', () => {\n            if (selectedOption === null) return;\n            \n            if (selectedOption === correctOption) {\n                feedbackCorrect.classList.remove('hidden');\n                feedbackIncorrect.classList.add('hidden');\n            } else {\n                feedbackIncorrect.classList.remove('hidden');\n                feedbackCorrect.classList.add('hidden');\n            }\n        });",
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    "slide": 3,
    "fragments": [
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        "text_description": "Multiple Choice Question\nQuestion 3 — Magnetic Field of a Current-Carrying Wire\nA long straight wire of radius\na\ncarries uniform current\nI\n. Compare the magnetic field magnitude at (i) a point\na / 2\ninside the wire and (ii) a point\na / 2\noutside the surface. Choose the correct ratio (outside : inside).\n1\n4 : 1\n2\n1 : 1\n3\n4 : 3\n4\n3 : 4\nHint:\nInside: \\(B=\\mu_0 I r / (2\\pi a^2)\\). Outside: \\(B=\\mu_0 I / (2\\pi r)\\). Use \\(r=0.5a\\) and \\(1.5a\\), then form the ratio \\(B_{out}:B_{in}\\).\nSubmit Answer\nCorrect!\nWell done! \\(B_{out}/B_{in}=4/3\\) because \\(B\\propto r\\) inside the wire and \\(B\\propto 1/r\\) outside.\nIncorrect\nRevisit the Ampere’s law expressions for inside and outside points and substitute the given radii.\nconst correctOption = 2; // zero-based index\n        const answerCards = document.querySelectorAll('.answer-card');\n        const submitBtn = document.getElementById('slide-04-n4c7e9-submitBtn');\n        const feedbackCorrect = document.getElementById('slide-04-n4c7e9-feedback-correct');\n        const feedbackIncorrect = document.getElementById('slide-04-n4c7e9-feedback-incorrect');\n        \n        let selectedOption = null;\n        \n        answerCards.forEach((card, index) => {\n            card.addEventListener('click', () => {\n                answerCards.forEach(c => c.classList.remove('border-blue-500', 'bg-blue-50'));\n                card.classList.add('border-blue-500', 'bg-blue-50');\n                selectedOption = index;\n            });\n        });\n        \n        submitBtn.addEventListener('click', () => {\n            if (selectedOption === null) return;\n            \n            if (selectedOption === correctOption) {\n                feedbackCorrect.classList.remove('hidden');\n                feedbackIncorrect.classList.add('hidden');\n            } else {\n                feedbackIncorrect.classList.remove('hidden');\n                feedbackCorrect.classList.add('hidden');\n            }\n        });",
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    "slide": 4,
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        "text_description": "Multiple Choice Question\nQuestion 4: Observing Diffraction\nThe diffraction effect can be observed in:\nA\nsound waves only\nB\nlight waves only\nC\nultrasonic waves only\nD\nsound waves as well as light waves\nHint:\nDiffraction appears when wavefronts meet an opening or obstacle comparable in size to their wavelength.\nSubmit Answer\nCorrect!\nDiffraction is a universal wave phenomenon. Both audible sound and visible light bend around openings—e.g., sound heard around a corner and light fringes at a razor edge.\nIncorrect\nRemember: any wave bends when its wavelength is comparable to the size of the opening. Re-evaluate each option with this idea.\n// MCQ interaction logic\n        const correctOption = 3;\n        const answerCards = document.querySelectorAll('.answer-card');\n        const submitBtn = document.getElementById('submitBtn');\n        const feedbackCorrect = document.getElementById('feedbackCorrect');\n        const feedbackIncorrect = document.getElementById('feedbackIncorrect');\n        \n        let selectedOption = null;\n        \n        answerCards.forEach((card, index) => {\n            card.addEventListener('click', () => {\n                answerCards.forEach(c => c.classList.remove('border-blue-500', 'bg-blue-50'));\n                card.classList.add('border-blue-500', 'bg-blue-50');\n                selectedOption = index;\n            });\n        });\n        \n        submitBtn.addEventListener('click', () => {\n            if (selectedOption === null) return;\n            \n            if (selectedOption === correctOption) {\n                feedbackCorrect.classList.remove('hidden');\n                feedbackIncorrect.classList.add('hidden');\n            } else {\n                feedbackIncorrect.classList.remove('hidden');\n                feedbackCorrect.classList.add('hidden');\n            }\n        });",
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    "slide": 5,
    "fragments": [
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        "text_description": "Key Takeaways from Questions 1 – 4",
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        "fragment_index": 1,
        "text_description": "Q1 Answer: (A)\nUniform E lowers potential along +X: V\nA\n< V\nB\n; along Y it is unchanged, so V\nA\n= V\nC\n.",
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        "text_description": "Q2 Answer: (B)\nAt equilibrium E ∝ 1/r, therefore E\n1\n:E\n2\n= r\n2\n:r\n1\n.",
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        "fragment_index": 3,
        "text_description": "Q3 Answer: (C)\nUsing Ampere’s law at ±a/2, magnetic field ratio (outside : inside) is 4 : 3.",
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        "fragment_index": 4,
        "text_description": "Q4 Answer: (D)\nDiffraction occurs when aperture ≈ λ, so all waves qualify. Next, practise with Questions 5–8.",
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