ount" content="ca-pub-1765806930130659"> class 11 physics formula sheet pdf

Class 11 physics formula sheet pdf

NCERT Class 11 Physics Formulas - Chapters 1-3 | Complete Formula Sheet

NCERT Class 11 Physics Formula Sheet

🎯 Premium Revision Resource: This comprehensive formula sheet covers all essential concepts and equations from Physical World, Units and Measurements, and Motion in a Straight Line. Perfect for last-minute revision, competitive exams (JEE/NEET), and board exam preparation.

Chapter 1: Physical World - Fundamental Concepts

Physics is the study of nature and its fundamental laws, covering both macroscopic and microscopic phenomena. This chapter introduces the basic framework of physical theories and observations.

🌈 Core Principles

  • Scientific Method: Observation → Hypothesis → Experimentation → Theory
  • Scope of Physics: Ranges from cosmic scale (astrophysics) to atomic scale (quantum physics)
  • Fundamental Forces in Nature:
    1. Gravitational Force: Weakest but long-range; governs celestial bodies
    2. Electromagnetic Force: Acts between charged particles
    3. Strong Nuclear Force: Binds protons and neutrons in nucleus
    4. Weak Nuclear Force: Responsible for radioactive decay
💡 Did You Know? The four fundamental forces control all interactions in the universe, from galaxy formation to atomic behavior.

Chapter 2: Units and Measurements

The foundation of all physical measurements and calculations. Understanding units and dimensions is crucial for solving numerical problems accurately.

📏 Units & Dimensional Analysis

[Physical Quantity] = Ma Lb Tc Id Θe Nf Jg

Where:
M = Mass, L = Length, T = Time, I = Current, Θ = Temperature, N = Amount of substance, J = Luminous intensity

🔢 Significant Figures Rules

  • All non-zero digits (1-9) are always significant (e.g., 123.45 has 5 significant figures)
  • Leading zeros (before first non-zero digit) are never significant (0.0045 has 2 significant figures)
  • Captive zeros (between non-zero digits) are always significant (1002 has 4 significant figures)
  • Trailing zeros after decimal are significant (45.00 has 4 significant figures)

📊 Error Analysis Formulas

Absolute Error (Δa) = |Measured Value - True Value|
Relative Error = Absolute Error / True Value = Δa/a
Percentage Error = (Absolute Error / True Value) × 100

For multiple measurements, mean absolute error is calculated as the arithmetic mean of absolute errors.

➗ Propagation of Errors

Addition/Subtraction: ΔZ = ΔA + ΔB
Multiplication/Division: ΔZ/Z = ΔA/A + ΔB/B
Power Rule: If Z = An, then ΔZ/Z = n(ΔA/A)
⚠️ Important: Always maintain consistent units throughout calculations and report final answers with proper significant figures.

Chapter 3: Motion in a Straight Line

Kinematics describes motion without considering its causes. This chapter covers one-dimensional motion with constant acceleration.

📍 Basic Definitions

Displacement (Δx) = Final Position - Initial Position = xf - xi
Distance = Total path length (always positive)

Displacement is a vector quantity while distance is scalar.

🏃 Speed and Velocity

Average Speed = Total Distance Travelled / Total Time Taken
Average Velocity (vavg) = Total Displacement / Total Time = Δx/Δt
Instantaneous Velocity = limΔt→0 Δx/Δt = dx/dt

🚀 Acceleration Concepts

Average Acceleration = Change in Velocity / Time Interval = Δv/Δt
Instantaneous Acceleration = limΔt→0 Δv/Δt = dv/dt = d²x/dt²

Negative acceleration is called retardation.

📈 Kinematic Equations (Constant Acceleration)

1. Velocity-Time Relation: v = u + at
2. Position-Time Relation: s = ut + ½ at²
3. Velocity-Position Relation: v² = u² + 2as
4. Average Velocity Relation: s = (u + v)/2 × t

Where:
u = initial velocity, v = final velocity, a = acceleration, t = time, s = displacement

↔️ Relative Velocity in One Dimension

vAB = vA - vB

vAB represents velocity of object A relative to object B.

📝 Important Notes:
  • All kinematic equations apply only when acceleration is constant
  • Displacement can be zero even when distance is not zero (in round trips)
  • The slope of position-time graph gives velocity
  • The slope of velocity-time graph gives acceleration
💎 Pro Tip: Always draw diagrams for motion problems. Visualizing the scenario helps in selecting the right equation and avoiding mistakes.
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