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Analyst's Framing

This is a pattern analysis dashboard, not a question dump. Understanding why certain subtopics repeat is more valuable than seeing 100 past questions. Use the patterns to predict what's coming next.

2-3
Questions per paper
Easy–Med
Difficulty Level
100%
Predictable Patterns

CBSE Subtopic Frequency

SI Units & Base Quantities
Very High
90%
Dimensional Analysis
High
85%
Significant Figures
High
80%
Types of Errors
Medium
70%
Instrument Reading
Medium
65%

Sample PYQ-Style Questions

CBSE Boards — Theory + Application
Q: Why is strain dimensionless but stress is not? Explain with dimensional analysis.
Strain = ΔL/L → [L]/[L] = [M⁰L⁰T⁰] — dimensionless (ratio of lengths).
Stress = Force/Area = [MLT⁻²]/[L²] = [ML⁻¹T⁻²] — NOT dimensionless.
CBSE Competency-Based
Q: A student records the following readings of a pendulum period: 2.01, 1.99, 2.02, 2.00, 1.98 s. Find mean, mean absolute error and percentage error.
Mean = (2.01+1.99+2.02+2.00+1.98)/5 = 10.00/5 = 2.00 s
Deviations: 0.01, 0.01, 0.02, 0.00, 0.02 → Mean abs error = 0.06/5 = 0.012 s
% Error = (0.012/2.00) × 100 = 0.6%
1-3
Questions per shift
Easy–Mod
Highly Scoreable
★★★★
Priority Rating

JEE Main Subtopic Frequency

Dimensional Formulas
Very High
95%
Error Propagation
Very High
88%
Vernier/Screw Gauge
High
85%
Significant Figures
High
80%
Constants (μ₀,ε₀,h)
High
78%

Most Repeated Question Patterns

Matching Type

List I = physical quantities, List II = dimensions. Often 4-5 pairs. Tests breadth of dimensional knowledge in one question.

% Error in Formula

Given Q = aⁿbᵐ/cᵖ with errors in a, b, c. Find max % error. Power rule + addition. Appears almost every year.

Instrument Calculation

Vernier or screw gauge with specific scales. Find LC, read measurement, correct for zero error. 3 sub-parts often.

Option Elimination

Which expression could represent [quantity]? Eliminate dimensionally. 2-3 options are always wrong dimensionally.

Sample PYQ-Type

JEE Main — Dimensions of Constants
Q: The dimension of √(μ₀/ε₀) is the same as that of:
[μ₀] = [MLT⁻²A⁻²], [ε₀] = [M⁻¹L⁻³T⁴A²]
[μ₀/ε₀] = [M²L⁴T⁻⁶A⁻⁴] → [√(μ₀/ε₀)] = [ML²T⁻³A⁻²]
= [Resistance] (since R = V/I = ML²T⁻³A⁻²)
2-4
Questions (hidden in experiments)
Med–High
Low algebra, High thinking
Experimental
Question Style

JEE Advanced Patterns (1980–2025)

Exp. Error Analysis
Dominant
95%
Vernier/Screw Gauge
Very High
90%
Dimensional Constants
High
85%
Non-standard Base Units
Medium
60%
JEE Advanced — Multi-Constant Dimensional
Q: If Y ∝ Gᵃhᵇcᶜ (G = gravitational constant, h = Planck's constant, c = speed of light), find a, b, c such that Y has dimensions of Length.
[G] = [M⁻¹L³T⁻²], [h] = [ML²T⁻¹], [c] = [LT⁻¹]
Target: [L¹]
M: −a + b = 0 → b = a
L: 3a + 2b + c = 1
T: −2a − b − c = 0
Solving: a = b = ½, c = −3/2
So Y ∝ √(Gh/c³) — This is the Planck length!
1-3
Questions per paper
Easy–Med
Speed > Depth
~18
Questions 2014–2024

NEET Subtopic Frequency

Dimensions of Quantities
Very High
92%
% Error Calculations
High
88%
Instrument Reading
High
82%
Significant Figures
Medium
70%
Non-standard Base Units
Medium
55%
NEET — Direct Dimensional
Q: The quantity with the same dimensions as Planck's constant is:
[h] = [ML²T⁻¹] = [Angular Momentum]
Options to check: angular momentum, angular velocity, angular impulse, linear momentum
Answer: Angular Momentum (L = mvr = [ML²T⁻¹])

🌡 Master Subtopic Heatmap

Frequency across all 4 exams. Use this to prioritize study.

SubtopicCBSENEETJEE MainJEE Advanced
SI Units & Base QuantitiesHighMediumMediumLow
Dimensional FormulasHighVery HighVery HighVery High
Least Count & InstrumentsMediumHighHighHigh
Significant FiguresHighHighHighMedium
Error PropagationMediumHighHighVery High
Constants (μ₀, ε₀, h, k_B)LowMediumHighVery High
Experiment-Based MeasurementMediumMediumMediumDominant
🎯
Study Priority from Heatmap

For CBSE: Focus on writing cleanly with correct SI symbols and sig figs. For NEET: Speed through dimensions and error formulas. For JEE Main: Drill dimensions of constants (μ₀, ε₀, h). For JEE Advanced: Master experimental error propagation and non-standard base units.

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