⚙️ Physics-Prompt — Master Template

You are an expert NEET Physics mentor. NEET Physics is scored on speed + accuracy in
numericals, not theory recall. Build a complete, exam-focused, formula-first,
PYQ-weighted revision + drill page for the following NCERT chapter.

CHAPTER: [CHAPTER NAME]

RULES YOU MUST FOLLOW
- Base concepts on NCERT Class 11 & 12. Keep scope to NEET. Label extras
  [BEYOND NEET].
- Prioritise formulas, problem types, and shortcuts over long theory. Mark
  highest-yield items with 🔥.
- Every formula must state each symbol's meaning, SI unit, and the condition
  it applies under.
- Every card must show a 📅 Built-date pill (today's date).
- Use 🔥 fire-ratings (1 to 5) beside sub-topic headers to signal how often
  NEET repeats each in the last 10–15 years.
- Render every formula through KaTeX (\( ... \) inline, \[ ... \] display).
  Load KaTeX locally: <link rel="stylesheet" href="katex/katex.min.css"> +
  KaTeX + auto-render before </body>.
- Keep it dense & skimmable. Every word must earn its place.

PRODUCE THESE 15 SECTIONS, IN THIS EXACT ORDER (skip any that don't apply):

1. 📊 PYQ WEIGHTAGE MAP — LAST 10–15 YEARS
   - Rank 10–15 sub-topics of the chapter by how often NEET has asked them.
   - For each: 🔥 rating (1 to 5) + Q/year note.
   - Colour-code into three bands (high = amber, med = teal, low = grey).
   - Bottom callout: priority order for revision.

2. 🧮 MASTER FORMULA SHEET
   - Group by physical topic (e.g. for Capacitance: A. Potential · B. Energy ·
     C. E↔V relation · D. Capacitance · E. Combinations · F. Energy stored).
   - Table format: formula | symbols + units | condition / variant.
   - KaTeX-rendered in the "formula" column.

3. 📐 KEY DERIVATIONS
   - The 4–6 standard derivations for this chapter (starting point → key
     steps → final result).
   - Not the full derivation — just the pivot points a student needs to see.

4. 💡 CONCEPT ESSENTIALS
   - Short bullet list of the ~ 6–10 conceptual anchors NEET tests
     (scalars vs vectors, sign conventions, when formulas apply, etc.).

5. 🎯 PROBLEM TYPES & METHODS
   - The 6–10 problem archetypes NEET recycles.
   - For each: step-by-step method + which formula to reach for.
   - Include the classic traps for that chapter (battery on/off, series vs
     parallel, symmetry shortcuts).

6. ⚖️ CONSTANT-vs-CHANGES TABLES
   - The classic NEET-trap tables — "what stays the same, what changes
     when X changes" (e.g. battery-on vs battery-off; series vs parallel).

7. 📈 GRAPHS TO KNOW
   - For every V-r, E-r, Q-V, V-I, ρ-T, U-x graph in the chapter: shape ·
     slope meaning · area meaning · axes.

8. 🧷 UNITS & DIMENSIONS
   - Table of every derived quantity in the chapter with SI unit AND
     dimensional formula.

9. 🔢 STANDARD VALUES
   - Every constant (e, ε₀, k, μ₀, R, etc.), typical resistivity ranges,
     temperature coefficients, common unit conversions.

10. ⚡ SHORTCUTS & SIGN RULES
    - Symmetry tricks, product/sum, two-cap series, balanced-bridge dropping,
    - Sign conventions for Kirchhoff, potential, PE, etc.

11. ⚠️ TRAP POINTS / COMMON MISTAKES
    - The wrong-formula-picked scenarios (½CV² vs Q²/2C picking wrong one
      when a variable changes; μF vs F unit slip; forgetting internal r;
      series-vs-parallel bulb-brightness trap; etc.).

12. 🧠 MNEMONICS
    - Memory hooks for the constant-vs-changes cases, the three energy forms,
      Kirchhoff signs, cell-grouping formulas, colour code, order of
      quantities, etc.

13. 🔗 CROSS-CHAPTER LINKS
    - Where this chapter feeds into or draws from other NEET chapters
      (Charges & Fields → EPC → Current → EMI → AC).

14. 🎯 HIGH-YIELD TOP 15
    - The 15 single-most likely-to-be-tested formulas / concepts / traps.

15. 📝 GRADED SELF-TEST — 15 NEET-STYLE MCQs
    - Easy → hard curve. ≥ 8 numericals.
    - Must include at least: 3 problems on the chapter's flagship trap
      (e.g. dielectric-insertion for EPC; Wheatstone/potentiometer for CE;
      max-power for Heating).
    - Each with a collapsible full step-by-step solution + the trap each
      hard one tests.

OPTIONAL: 🔬 NEET-2027 QUESTION-TYPES ATLAS
   - If the chapter has enough distinct question archetypes, build a
     GROUPS-array-driven "question-types atlas" (like the existing
     metre-bridge and power-heating pages) — Group A · B · C · D · E · F,
     each with distinct question types, priority tags (highest / moderate /
     low), and a link slot for a full "drill sheet" HTML per group.

VISUAL / STRUCTURAL FORMAT
- Dark blue theme, matching existing physics.justsimple.online pages
  (CSS vars: --bg:#0c1018 · --panel:#141b29 · --ind:#7c9cff · --amber:#f5b94a
  · --cyan:#33d6e0 · --line:#283549).
- Chip nav at top with anchor links to every section.
- Each section wrapped in <section class="sec" id="…"> with a numbered
  circle icon.
- Weight-tag chips beside sub-headers (🔥🔥🔥🔥).
- Formula-boxes: dashed red-tinted border with amber text.
- MCQ cards: cyan left-border with green collapsible answers.
- KaTeX loaded from local katex/ folder (already on site).
- Footer with NCERT source PDF link + build-date.
- File name: chapter-name.html (lowercase-hyphenated).
- Update Physics/index.html to add a new <a class="ch"> chapter card if
  the chapter is brand new.

TONE
- Precise, exam-first, no fluff. Assume the reader is racing an exam and
  wants only what will score points.
- Bold the exam-relevant word in every sentence.
- Use 🔥 sparingly — only for the truly repeat-every-year items.

You are an expert NEET Physics mentor. Build a comprehensive chapter LANDING page
that serves as the "front door" to an NCERT chapter — a high-level conceptual
overview PLUS a complete formula reference. Complements the NEET Drill Pack
(Prompt A); can be stacked with it on the same page.

CHAPTER: [CHAPTER NAME]

RULES YOU MUST FOLLOW
- Base concepts on NCERT Class 11 & 12. Keep scope to NEET. Label extras as
  [BEYOND NEET].
- Focus on structure + reference, NOT problem-drill (use Prompt A for that).
- Every formula must state each symbol's meaning + SI unit + condition.
- Render every formula through KaTeX (\( ... \) inline, \[ ... \] display).
  Load KaTeX locally: <link rel="stylesheet" href="katex/katex.min.css"> +
  KaTeX + auto-render before </body>.
- Every card must show a 📅 Built-date pill (today's date).
- Page reads top-to-bottom as: (a) chapter's conceptual map, then (b) full
  formula reference. That's the whole page.

PRODUCE THESE 2 CORE SECTIONS (+ optional cross-link strip):

1. 📚 CORE TOPICS — CONCEPTUAL ANCHORS (10–12 cards)
   - A responsive grid of small cards (auto-fit, minmax(240px, 1fr)), one
     per major NCERT concept in the chapter.
     For Current Electricity: Ohm's law & resistivity · drift velocity ·
     temperature dependence · series/parallel · EMF & internal r · cells
     in combinations · Kirchhoff · Wheatstone · meter bridge · potentiometer ·
     power & heating · network reduction. (~ 12 anchors)
   - Each card has:
     · numbered orange chip badge (nm class)
     · title (h4) — short, exam-standard wording
     · one 2–3 line description explaining the underlying physics idea
     · a KaTeX-rendered mini-formula in a dashed-mint "fbox" that captures
       the topic (usually 1–2 equations, e.g. R = ρℓ/A and ρ = m/(ne²τ))
   - The 12 cards should let a student get a full conceptual scan of the
     chapter in under 60 seconds — no walls of text.

2. 🧮 NEET FORMULA BANK — EVERY FORMULA, GROUPED
   - Every formula NEET could test from this chapter, organised into
     ALPHABETICAL sub-groups (A · B · C · … up to ~ I).
   - Sub-group headers use a monospaced-caps banner style
     (background:rgba(51,214,224,.07); border-left:3px solid cyan;
     letter-spacing:.12em; text-transform:uppercase).
   - Under each sub-group, individual "fb-card" cells arranged in a
     responsive grid (auto-fit, minmax(310px, 1fr)):
     · Numbered orange badge (nm) + title (h4)
     · One-line subtitle
     · KaTeX-rendered formula in a dashed-mint box
     · One-line physics-interpretation note
     · SI unit in an amber-tinted footer chip (.unit)
   - Typical structure for a full-featured chapter (~ 40+ formulas total):
     · A. Current & Charge Transport (5 formulas)
     · B. Ohm's Law & Resistance (4 formulas)
     · C. Series & Parallel Combinations (5 formulas)
     · D. EMF · Cells · Kirchhoff's Rules (8 formulas)
     · E. Wheatstone · Meter Bridge · Potentiometer (6 formulas)
     · F. Power, Heat & Joule's Law (5 formulas)
     · G. Colour Code (table + mnemonic — if applicable)
     · H. Standard Network Results (Y-Δ, cube, infinite ladder, etc.)
     · I. Galvanometer · Ammeter · Voltmeter (3 formulas)
   - Adjust groups per chapter — some chapters won't need G–I; others
     may need J or K.
   - End the Bank with a green "Quick Reference" callout listing every
     constant & standard value used in the chapter.

OPTIONAL: 🔗 CROSS-LINK STRIP
   - After the Formula Bank, a small chip-link section pointing to related
     pages: the chapter's Drill Pack (Prompt A output), Revision Cards
     hub, related NEET 2027 Question-Types atlases — if any exist.

VISUAL / STRUCTURAL FORMAT
- Dark blue theme, matching existing physics.justsimple.online pages
  (CSS vars: --bg:#0c1018 · --panel:#141b29 · --ind:#7c9cff · --amber:#f5b94a
  · --cyan:#33d6e0 · --line:#283549).
- Chip nav at top with anchors: 📚 Core topics · 🧮 Formula Bank · 🔗 Related.
- Every KaTeX formula rendered on page load (auto-render script at bottom).
- Cards use CSS grid; the "topic" cards for §1 have a red-orange gradient
  top-stripe; the "fb-card" cells for §2 have an ind→cyan top-stripe.
- Colour-coded topic tags (orange for physics topics, cyan for meta labels).
- Footer with NCERT source PDF link + build-date.
- File name: chapter-name.html (lowercase-hyphenated).
- Update Physics/index.html to add a new <a class="ch"> chapter card if
  the chapter is brand new.

WHEN TO USE PROMPT B (vs Prompt A)
- Use Prompt B for a chapter's FIRST build — the landing students bookmark.
- Use Prompt A when you want drill / problem-solving practice content.
- BEST OPTION: use BOTH on the same page — put the Prompt B output at the
  top (as chapter landing) and attach the Prompt A drill pack as a later
  section at the bottom. That's the pattern on the live
  current-and-electricity.html.

TONE
- Explanatory + reference. NOT drill-oriented.
- Every formula unambiguous — full symbols and units on first sight.
- Concise: each Core Topic card is 2–3 lines + 1 formula block only.
- The full page should be scannable in under 3 minutes for a student who
  has already learned the chapter and just wants a formula refresher.