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DocDoeAI / src /video-engine /physics /production /chapterHomework.ts

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/**
 * CHAPTER-SCOPED HOMEWORK DATA
 *
 * Each chapter has its own homework tasks derived from that chapter's
 * official SCERT topics, formulae and exam-question families.
 *
 * This module prevents the cross-chapter homework data leak where
 * Sound Waves homework was incorrectly appended to all 7 chapters.
 */

export type HomeworkTaskType = "explanation" | "diagram" | "numerical" | "comparison";

export interface HomeworkTask {
  /** Unique identifier for this task. */
  id: string;
  /** Task type: explanation, diagram, numerical, or comparison. */
  type: HomeworkTaskType;
  /** Short imperative instruction. */
  text: string;
  /** The topic key from the course manifest that this task covers. */
  topicKey: string;
  /** Formula keys from the course manifest that this task uses. */
  formulaKeys: string[];
  /** Expected marks for this task. */
  marks: number;
}

export interface ChapterHomework {
  chapterId: string;
  chapterTitle: string;
  tasks: HomeworkTask[];
}

const HOMEWORK: Record<string, ChapterHomework> = {
  "phy-p1-c1": {
    chapterId: "phy-p1-c1",
    chapterTitle: "Sound Waves",
    tasks: [
      {
        id: "hw-c1-01",
        type: "explanation",
        text: "Explain how sound travels through air using the terms compression, rarefaction and longitudinal wave.",
        topicKey: "Longitudinal and transverse waves",
        formulaKeys: ["v = fλ"],
        marks: 4,
      },
      {
        id: "hw-c1-02",
        type: "numerical",
        text: "A person claps near a cliff and hears the echo after 1.5 seconds. If the speed of sound is 340 m/s, find the distance to the cliff.",
        topicKey: "Reflection of sound, echo and reverberation",
        formulaKeys: ["distance = vt/2"],
        marks: 3,
      },
      {
        id: "hw-c1-03",
        type: "comparison",
        text: "Distinguish between longitudinal and transverse waves with one example each.",
        topicKey: "Longitudinal and transverse waves",
        formulaKeys: [],
        marks: 3,
      },
    ],
  },

  "phy-p1-c2": {
    chapterId: "phy-p1-c2",
    chapterTitle: "Lenses",
    tasks: [
      {
        id: "hw-c2-01",
        type: "diagram",
        text: "Draw the ray diagram for image formation when an object is placed beyond 2F of a convex lens. Label F, 2F and the image.",
        topicKey: "Image formation by convex lens",
        formulaKeys: [],
        marks: 4,
      },
      {
        id: "hw-c2-02",
        type: "numerical",
        text: "An object is placed 30 cm from a convex lens of focal length 15 cm. Using the lens formula, find the image distance and magnification.",
        topicKey: "Lens formula and magnification",
        formulaKeys: ["1/f = 1/v − 1/u"],
        marks: 4,
      },
      {
        id: "hw-c2-03",
        type: "comparison",
        text: "Explain the difference between convex and concave lenses. Give two uses of each.",
        topicKey: "Types of lenses",
        formulaKeys: [],
        marks: 3,
      },
      {
        id: "hw-c2-04",
        type: "numerical",
        text: "A lens has a focal length of 25 cm. Find its power in dioptres.",
        topicKey: "Power of a lens",
        formulaKeys: ["P = 1/f"],
        marks: 2,
      },
    ],
  },

  "phy-p1-c3": {
    chapterId: "phy-p1-c3",
    chapterTitle: "The World of Colours and Vision",
    tasks: [
      {
        id: "hw-c3-01",
        type: "explanation",
        text: "Explain why the sky appears blue during the day and red at sunrise and sunset.",
        topicKey: "Scattering of light",
        formulaKeys: [],
        marks: 4,
      },
      {
        id: "hw-c3-02",
        type: "diagram",
        text: "Draw a neat diagram showing the dispersion of white light through a glass prism. Label the colours of the spectrum.",
        topicKey: "Dispersion of light",
        formulaKeys: [],
        marks: 4,
      },
      {
        id: "hw-c3-03",
        type: "explanation",
        text: "What are the primary colours of light? Explain how white light can be obtained by mixing them.",
        topicKey: "Colours of light",
        formulaKeys: [],
        marks: 3,
      },
      {
        id: "hw-c3-04",
        type: "comparison",
        text: "Differentiate between myopia and hypermetropia. How is each corrected using lenses?",
        topicKey: "Defects of vision",
        formulaKeys: [],
        marks: 4,
      },
    ],
  },

  "phy-p1-c4": {
    chapterId: "phy-p1-c4",
    chapterTitle: "Magnetic Effect of Electric Current",
    tasks: [
      {
        id: "hw-c4-01",
        type: "explanation",
        text: "Describe Oersted's experiment and explain what it demonstrates about the relationship between electricity and magnetism.",
        topicKey: "Oersted's experiment",
        formulaKeys: [],
        marks: 4,
      },
      {
        id: "hw-c4-02",
        type: "explanation",
        text: "State Fleming's left-hand rule. Explain the direction of force on a current-carrying conductor placed in a magnetic field.",
        topicKey: "Force on a current-carrying conductor",
        formulaKeys: [],
        marks: 3,
      },
      {
        id: "hw-c4-03",
        type: "diagram",
        text: "Draw a neat labelled diagram of a simple DC motor and explain its working.",
        topicKey: "Electric motor",
        formulaKeys: [],
        marks: 4,
      },
      {
        id: "hw-c4-04",
        type: "comparison",
        text: "Differentiate between a solenoid and an electromagnet. Give two applications of electromagnets.",
        topicKey: "Solenoid and electromagnet",
        formulaKeys: [],
        marks: 3,
      },
    ],
  },

  "phy-p2-c5": {
    chapterId: "phy-p2-c5",
    chapterTitle: "Electric Energy: Consumption and Conservation",
    tasks: [
      {
        id: "hw-c5-01",
        type: "explanation",
        text: "State Joule's law of heating and explain the factors on which heat produced depends.",
        topicKey: "Heating effect of electric current",
        formulaKeys: ["H = I²Rt"],
        marks: 4,
      },
      {
        id: "hw-c5-02",
        type: "explanation",
        text: "Explain why Nichrome is used as the heating element in electrical appliances.",
        topicKey: "Heating effect of electric current",
        formulaKeys: [],
        marks: 2,
      },
      {
        id: "hw-c5-03",
        type: "numerical",
        text: "A 1500 W electric kettle is used for 2 hours daily for 30 days. Calculate the energy consumed in kWh and the electricity bill if the rate is ₹6 per unit.",
        topicKey: "Electric energy and power",
        formulaKeys: ["E = Pt"],
        marks: 4,
      },
      {
        id: "hw-c5-04",
        type: "explanation",
        text: "Explain TOD (Time of Day) billing and suggest two ways to reduce your household carbon footprint through energy conservation.",
        topicKey: "Conservation of electric energy",
        formulaKeys: [],
        marks: 3,
      },
    ],
  },

  "phy-p2-c6": {
    chapterId: "phy-p2-c6",
    chapterTitle: "Electromagnetic Induction in Daily Life",
    tasks: [
      {
        id: "hw-c6-01",
        type: "explanation",
        text: "Describe the electromagnetic induction experiment using a bar magnet and a coil connected to a galvanometer.",
        topicKey: "Electromagnetic induction",
        formulaKeys: [],
        marks: 4,
      },
      {
        id: "hw-c6-02",
        type: "diagram",
        text: "Draw a neat labelled diagram of an AC generator and explain its working principle.",
        topicKey: "Electric generator",
        formulaKeys: [],
        marks: 4,
      },
      {
        id: "hw-c6-03",
        type: "comparison",
        text: "Differentiate between a step-up transformer and a step-down transformer with a diagram.",
        topicKey: "Transformer",
        formulaKeys: ["Vₛ/Vₚ = Nₛ/Nₚ"],
        marks: 4,
      },
      {
        id: "hw-c6-04",
        type: "explanation",
        text: "Explain why electric power is transmitted at high voltage over long distances.",
        topicKey: "Power transmission",
        formulaKeys: [],
        marks: 3,
      },
    ],
  },

  "phy-p2-c7": {
    chapterId: "phy-p2-c7",
    chapterTitle: "Mechanical Advantage in Action",
    tasks: [
      {
        id: "hw-c7-01",
        type: "diagram",
        text: "Explain the three orders of levers with one example each. Draw diagrams showing the position of fulcrum, load and effort.",
        topicKey: "Levers",
        formulaKeys: [],
        marks: 4,
      },
      {
        id: "hw-c7-02",
        type: "comparison",
        text: "Compare a fixed pulley and a movable pulley in terms of mechanical advantage and the direction of effort.",
        topicKey: "Pulley systems",
        formulaKeys: [],
        marks: 3,
      },
      {
        id: "hw-c7-03",
        type: "explanation",
        text: "Explain the principle of no gain in work using the example of a lever.",
        topicKey: "No gain in work",
        formulaKeys: ["load × load arm = effort × effort arm"],
        marks: 3,
      },
      {
        id: "hw-c7-04",
        type: "numerical",
        text: "A box of weight 500 N is pushed up a 5 m inclined plane to a height of 2 m. Find the effort required and the mechanical advantage.",
        topicKey: "Inclined plane",
        formulaKeys: [],
        marks: 3,
      },
    ],
  },
};

/**
 * Get the chapter-scoped homework for a given chapterId.
 * Returns undefined if the chapterId is not recognised.
 */
export function getChapterHomework(chapterId: string): ChapterHomework | undefined {
  return HOMEWORK[chapterId];
}

/**
 * QA validation: verify homework belongs to the correct chapter.
 * Returns a list of issues found.
 */
export function validateHomework(chapterId: string, homeworkText: string): string[] {
  const issues: string[] = [];
  const chapter = HOMEWORK[chapterId];
  if (!chapter) {
    issues.push(`Unknown chapterId: ${chapterId}`);
    return issues;
  }

  const lower = homeworkText.toLowerCase();

  // Cross-chapter leak detection
  const crossChapterPatterns: Array<[string, RegExp, string]> = [
    ["phy-p1-c1", /sound travels through air|v\s*=\s*f[λl]/i, "Sound Waves"],
    ["phy-p1-c2", /lens formula|1\/f\s*=\s*1\/v|convex lens/i, "Lenses"],
    ["phy-p1-c3", /dispersion|prism|sky.*blue|primary colour/i, "Colours and Vision"],
    ["phy-p1-c4", /oersted|fleming|solenoid|dc motor/i, "Magnetic Effect"],
    ["phy-p2-c5", /joule.*law|nichrome|kwh|tod billing/i, "Electric Energy"],
    ["phy-p2-c6", /electromagnetic induction|ac generator|transformer/i, "Electromagnetic Induction"],
    ["phy-p2-c7", /lever.*order|pulley|inclined plane|mechanical advantage/i, "Mechanical Advantage"],
  ];

  for (const [otherChapterId, pattern, name] of crossChapterPatterns) {
    if (otherChapterId !== chapterId && pattern.test(lower)) {
      issues.push(`Homework contains ${name} content but chapterId is ${chapterId}`);
    }
  }

  // Check task count
  if (chapter.tasks.length < 2 || chapter.tasks.length > 4) {
    issues.push(`Chapter ${chapterId} has ${chapter.tasks.length} tasks (expected 2-4)`);
  }

  return issues;
}

/**
 * Format homework tasks for display in the HomeworkVisual.
 */
export function formatHomeworkTasks(chapterId: string): string[] {
  const chapter = HOMEWORK[chapterId];
  if (!chapter) return [];
  return chapter.tasks.map((task) => task.text);
}

	/**
	* CHAPTER-SCOPED HOMEWORK DATA
	*
	* Each chapter has its own homework tasks derived from that chapter's
	* official SCERT topics, formulae and exam-question families.
	*
	* This module prevents the cross-chapter homework data leak where
	* Sound Waves homework was incorrectly appended to all 7 chapters.
	*/

	export type HomeworkTaskType = "explanation" \| "diagram" \| "numerical" \| "comparison";

	export interface HomeworkTask {
	/** Unique identifier for this task. */
	id: string;
	/** Task type: explanation, diagram, numerical, or comparison. */
	type: HomeworkTaskType;
	/** Short imperative instruction. */
	text: string;
	/** The topic key from the course manifest that this task covers. */
	topicKey: string;
	/** Formula keys from the course manifest that this task uses. */
	formulaKeys: string[];
	/** Expected marks for this task. */
	marks: number;
	}

	export interface ChapterHomework {
	chapterId: string;
	chapterTitle: string;
	tasks: HomeworkTask[];
	}

	const HOMEWORK: Record<string, ChapterHomework> = {
	"phy-p1-c1": {
	chapterId: "phy-p1-c1",
	chapterTitle: "Sound Waves",
	tasks: [
	{
	id: "hw-c1-01",
	type: "explanation",
	text: "Explain how sound travels through air using the terms compression, rarefaction and longitudinal wave.",
	topicKey: "Longitudinal and transverse waves",
	formulaKeys: ["v = fλ"],
	marks: 4,
	},
	{
	id: "hw-c1-02",
	type: "numerical",
	text: "A person claps near a cliff and hears the echo after 1.5 seconds. If the speed of sound is 340 m/s, find the distance to the cliff.",
	topicKey: "Reflection of sound, echo and reverberation",
	formulaKeys: ["distance = vt/2"],
	marks: 3,
	},
	{
	id: "hw-c1-03",
	type: "comparison",
	text: "Distinguish between longitudinal and transverse waves with one example each.",
	topicKey: "Longitudinal and transverse waves",
	formulaKeys: [],
	marks: 3,
	},
	],
	},

	"phy-p1-c2": {
	chapterId: "phy-p1-c2",
	chapterTitle: "Lenses",
	tasks: [
	{
	id: "hw-c2-01",
	type: "diagram",
	text: "Draw the ray diagram for image formation when an object is placed beyond 2F of a convex lens. Label F, 2F and the image.",
	topicKey: "Image formation by convex lens",
	formulaKeys: [],
	marks: 4,
	},
	{
	id: "hw-c2-02",
	type: "numerical",
	text: "An object is placed 30 cm from a convex lens of focal length 15 cm. Using the lens formula, find the image distance and magnification.",
	topicKey: "Lens formula and magnification",
	formulaKeys: ["1/f = 1/v − 1/u"],
	marks: 4,
	},
	{
	id: "hw-c2-03",
	type: "comparison",
	text: "Explain the difference between convex and concave lenses. Give two uses of each.",
	topicKey: "Types of lenses",
	formulaKeys: [],
	marks: 3,
	},
	{
	id: "hw-c2-04",
	type: "numerical",
	text: "A lens has a focal length of 25 cm. Find its power in dioptres.",
	topicKey: "Power of a lens",
	formulaKeys: ["P = 1/f"],
	marks: 2,
	},
	],
	},

	"phy-p1-c3": {
	chapterId: "phy-p1-c3",
	chapterTitle: "The World of Colours and Vision",
	tasks: [
	{
	id: "hw-c3-01",
	type: "explanation",
	text: "Explain why the sky appears blue during the day and red at sunrise and sunset.",
	topicKey: "Scattering of light",
	formulaKeys: [],
	marks: 4,
	},
	{
	id: "hw-c3-02",
	type: "diagram",
	text: "Draw a neat diagram showing the dispersion of white light through a glass prism. Label the colours of the spectrum.",
	topicKey: "Dispersion of light",
	formulaKeys: [],
	marks: 4,
	},
	{
	id: "hw-c3-03",
	type: "explanation",
	text: "What are the primary colours of light? Explain how white light can be obtained by mixing them.",
	topicKey: "Colours of light",
	formulaKeys: [],
	marks: 3,
	},
	{
	id: "hw-c3-04",
	type: "comparison",
	text: "Differentiate between myopia and hypermetropia. How is each corrected using lenses?",
	topicKey: "Defects of vision",
	formulaKeys: [],
	marks: 4,
	},
	],
	},

	"phy-p1-c4": {
	chapterId: "phy-p1-c4",
	chapterTitle: "Magnetic Effect of Electric Current",
	tasks: [
	{
	id: "hw-c4-01",
	type: "explanation",
	text: "Describe Oersted's experiment and explain what it demonstrates about the relationship between electricity and magnetism.",
	topicKey: "Oersted's experiment",
	formulaKeys: [],
	marks: 4,
	},
	{
	id: "hw-c4-02",
	type: "explanation",
	text: "State Fleming's left-hand rule. Explain the direction of force on a current-carrying conductor placed in a magnetic field.",
	topicKey: "Force on a current-carrying conductor",
	formulaKeys: [],
	marks: 3,
	},
	{
	id: "hw-c4-03",
	type: "diagram",
	text: "Draw a neat labelled diagram of a simple DC motor and explain its working.",
	topicKey: "Electric motor",
	formulaKeys: [],
	marks: 4,
	},
	{
	id: "hw-c4-04",
	type: "comparison",
	text: "Differentiate between a solenoid and an electromagnet. Give two applications of electromagnets.",
	topicKey: "Solenoid and electromagnet",
	formulaKeys: [],
	marks: 3,
	},
	],
	},

	"phy-p2-c5": {
	chapterId: "phy-p2-c5",
	chapterTitle: "Electric Energy: Consumption and Conservation",
	tasks: [
	{
	id: "hw-c5-01",
	type: "explanation",
	text: "State Joule's law of heating and explain the factors on which heat produced depends.",
	topicKey: "Heating effect of electric current",
	formulaKeys: ["H = I²Rt"],
	marks: 4,
	},
	{
	id: "hw-c5-02",
	type: "explanation",
	text: "Explain why Nichrome is used as the heating element in electrical appliances.",
	topicKey: "Heating effect of electric current",
	formulaKeys: [],
	marks: 2,
	},
	{
	id: "hw-c5-03",
	type: "numerical",
	text: "A 1500 W electric kettle is used for 2 hours daily for 30 days. Calculate the energy consumed in kWh and the electricity bill if the rate is ₹6 per unit.",
	topicKey: "Electric energy and power",
	formulaKeys: ["E = Pt"],
	marks: 4,
	},
	{
	id: "hw-c5-04",
	type: "explanation",
	text: "Explain TOD (Time of Day) billing and suggest two ways to reduce your household carbon footprint through energy conservation.",
	topicKey: "Conservation of electric energy",
	formulaKeys: [],
	marks: 3,
	},
	],
	},

	"phy-p2-c6": {
	chapterId: "phy-p2-c6",
	chapterTitle: "Electromagnetic Induction in Daily Life",
	tasks: [
	{
	id: "hw-c6-01",
	type: "explanation",
	text: "Describe the electromagnetic induction experiment using a bar magnet and a coil connected to a galvanometer.",
	topicKey: "Electromagnetic induction",
	formulaKeys: [],
	marks: 4,
	},
	{
	id: "hw-c6-02",
	type: "diagram",
	text: "Draw a neat labelled diagram of an AC generator and explain its working principle.",
	topicKey: "Electric generator",
	formulaKeys: [],
	marks: 4,
	},
	{
	id: "hw-c6-03",
	type: "comparison",
	text: "Differentiate between a step-up transformer and a step-down transformer with a diagram.",
	topicKey: "Transformer",
	formulaKeys: ["Vₛ/Vₚ = Nₛ/Nₚ"],
	marks: 4,
	},
	{
	id: "hw-c6-04",
	type: "explanation",
	text: "Explain why electric power is transmitted at high voltage over long distances.",
	topicKey: "Power transmission",
	formulaKeys: [],
	marks: 3,
	},
	],
	},

	"phy-p2-c7": {
	chapterId: "phy-p2-c7",
	chapterTitle: "Mechanical Advantage in Action",
	tasks: [
	{
	id: "hw-c7-01",
	type: "diagram",
	text: "Explain the three orders of levers with one example each. Draw diagrams showing the position of fulcrum, load and effort.",
	topicKey: "Levers",
	formulaKeys: [],
	marks: 4,
	},
	{
	id: "hw-c7-02",
	type: "comparison",
	text: "Compare a fixed pulley and a movable pulley in terms of mechanical advantage and the direction of effort.",
	topicKey: "Pulley systems",
	formulaKeys: [],
	marks: 3,
	},
	{
	id: "hw-c7-03",
	type: "explanation",
	text: "Explain the principle of no gain in work using the example of a lever.",
	topicKey: "No gain in work",
	formulaKeys: ["load × load arm = effort × effort arm"],
	marks: 3,
	},
	{
	id: "hw-c7-04",
	type: "numerical",
	text: "A box of weight 500 N is pushed up a 5 m inclined plane to a height of 2 m. Find the effort required and the mechanical advantage.",
	topicKey: "Inclined plane",
	formulaKeys: [],
	marks: 3,
	},
	],
	},
	};

	/**
	* Get the chapter-scoped homework for a given chapterId.
	* Returns undefined if the chapterId is not recognised.
	*/
	export function getChapterHomework(chapterId: string): ChapterHomework \| undefined {
	return HOMEWORK[chapterId];
	}

	/**
	* QA validation: verify homework belongs to the correct chapter.
	* Returns a list of issues found.
	*/
	export function validateHomework(chapterId: string, homeworkText: string): string[] {
	const issues: string[] = [];
	const chapter = HOMEWORK[chapterId];
	if (!chapter) {
	issues.push(`Unknown chapterId: ${chapterId}`);
	return issues;
	}

	const lower = homeworkText.toLowerCase();

	// Cross-chapter leak detection
	const crossChapterPatterns: Array<[string, RegExp, string]> = [
	["phy-p1-c1", /sound travels through air\|v\s=\sf[λl]/i, "Sound Waves"],
	["phy-p1-c2", /lens formula\|1\/f\s=\s1\/v\|convex lens/i, "Lenses"],
	["phy-p1-c3", /dispersion\|prism\|sky.*blue\|primary colour/i, "Colours and Vision"],
	["phy-p1-c4", /oersted\|fleming\|solenoid\|dc motor/i, "Magnetic Effect"],
	["phy-p2-c5", /joule.*law\|nichrome\|kwh\|tod billing/i, "Electric Energy"],
	["phy-p2-c6", /electromagnetic induction\|ac generator\|transformer/i, "Electromagnetic Induction"],
	["phy-p2-c7", /lever.*order\|pulley\|inclined plane\|mechanical advantage/i, "Mechanical Advantage"],
	];

	for (const [otherChapterId, pattern, name] of crossChapterPatterns) {
	if (otherChapterId !== chapterId && pattern.test(lower)) {
	issues.push(`Homework contains ${name} content but chapterId is ${chapterId}`);
	}
	}

	// Check task count
	if (chapter.tasks.length < 2 \|\| chapter.tasks.length > 4) {
	issues.push(`Chapter ${chapterId} has ${chapter.tasks.length} tasks (expected 2-4)`);
	}

	return issues;
	}

	/**
	* Format homework tasks for display in the HomeworkVisual.
	*/
	export function formatHomeworkTasks(chapterId: string): string[] {
	const chapter = HOMEWORK[chapterId];
	if (!chapter) return [];
	return chapter.tasks.map((task) => task.text);
	}