All Important Derivations Of Physics Class 11 Pdf Download Verified

Class 11 Physics is a foundational year that introduces complex mathematical derivations essential for both board exams and competitive tests like JEE and NEET. Mastering these derivations helps you move beyond rote memorization to a true conceptual understanding of how physical laws are formulated.

Below is a comprehensive list of the most important derivations for Class 11 Physics, organized by chapter, along with a guide on how to download these as a PDF for your revision. Important Derivations by Chapter 1. Motion in a Straight Line Equations of Motion (Graphical & Calculus): Deriving Distance in nthn raised to the t h power Second: Finding the displacement specifically during the nthn raised to the t h power second of motion. 2. Motion in a Plane

Projectile Motion: Deriving the equation of trajectory (parabola), Time of Flight ( ), Maximum Height ( ), and Horizontal Range (

Vector Addition: Proof of the Parallelogram and Triangle Laws of vector addition. Centripetal Acceleration: Deriving for a body in uniform circular motion. 3. Laws of Motion Newton’s Second Law: Proving from the rate of change of momentum. Banking of Roads: Finding the maximum safe velocity all important derivations of physics class 11 pdf download

(for smooth roads) and the more complex version including friction.

Recoil of a Gun: Applying the law of conservation of linear momentum. 4. Work, Energy, and Power

Work-Energy Theorem: Proving that work done equals the change in kinetic energy ( Potential Energy of a Spring: Deriving Class 11 Physics is a foundational year that

Elastic Collisions (1D): Deriving the final velocities of two bodies after a perfectly elastic collision. 5. System of Particles and Rotational Motion

Centre of Mass: Calculating the position for a two-particle system.

Rotational Kinematics: Relating torque to angular acceleration ( ) and angular momentum ( High Yield vs

Moment of Inertia: Standard derivations for a uniform rod, ring, and disc about various axes. 6. Gravitation Derivation of Physics Formula - Vedantu

High Yield vs. Low Yield (Priority List)

Must-Do (99% chance in exam):

  • Banking of Roads (Derivation 9)
  • Projectile Motion (Derivation 4 & 5)
  • Work-Energy Theorem (Derivation 11)
  • Parallel Axis Theorem (Derivation 19)
  • Escape Velocity (Derivation 23)
  • Bernoulli’s Theorem (Derivation 29)
  • Carnot Engine Efficiency (Derivation 35)
  • Doppler Effect (Derivation 44)

Secondary (If you have time):

  • Moment of Inertia of Solid Sphere (Derivation 17 – lengthy but formula is direct).
  • Reynolds Number (Derivation 31 variant).

Exam Strategy: How to Practice These Derivations

You have the list and the PDF. Now, how do you memorize 44 derivations without burning out?

Unit 5: System of Particles & Rotational Motion (Toughest Chapter)

  • Derivation 15: Center of Mass (COM) of a Two-Particle System & COM of a Uniform Rod.
  • Derivation 16: Relation between Torque and Angular Acceleration (τ = Iα).
  • Derivation 17: Moment of Inertia (Iz) of a Thin Ring, Disc, Solid Sphere, and Hollow Sphere.
  • Derivation 18: Radius of Gyration (K = √(I/m)).
  • Derivation 19: Parallel Axis Theorem & Perpendicular Axis Theorem (Proof).
  • Derivation 20: Rolling without slipping (Relation between v_cm and ω: v = rω).
  • Derivation 21: Law of Conservation of Angular Momentum (Spinning ice skater example).

How to Find or Create a PDF

  1. NCERT Textbooks: Start with the NCERT textbooks for Class 11 Physics. They provide detailed explanations and derivations.
  2. Online Resources: Websites like NCERT, OpenStax, and other educational platforms offer free resources, including PDFs and study guides.
  3. YouTube and Video Lectures: Channels like 3Blue1Brown, Physics Girl, and Crash Course provide video explanations that can help you understand derivations.
  4. Create Your Own Notes: As you study, make your own notes and derivations. This will help you understand and retain the material better.

11. Thermodynamics

  • First law of thermodynamics for isothermal, adiabatic, isochoric, isobaric processes
  • Derivation of work done in isothermal & adiabatic processes
  • Efficiency of Carnot engine (derivation)
  • Derivation of equation of adiabatic process (( PV^\gamma = \textconstant ))

Unit 6: Gravitation

  • Derivation 22: Newton’s Law of Gravitation from Kepler’s Laws.
  • Derivation 23: Escape Velocity (v_esc = √(2GM/R) = √(2gR)).
  • Derivation 24: Orbital Velocity of a Satellite (v_o = √(GM/r)).
  • Derivation 25: Total Energy of a Satellite (E = -GMm/2r) – Derivation that KE = -Total Energy.
  • Derivation 26: Geostationary Satellite (Height calculation: ~36,000 km).

Unit 3: Laws of Motion

  • Derivation 7: Newton’s Second Law (Impulse = Change in momentum – F = dp/dt).
  • Derivation 8: Conservation of Linear Momentum (Recoil of a gun/Rocket propulsion).
  • Derivation 9: Banking of Roads (Angle of banking for no skidding: tanθ = v²/rg).
  • Derivation 10: Motion of a Car on a Level Circular Road (Expression for maximum speed to avoid skidding/rolling).

Unit 1: Physical World & Measurement (No derivations, but errors and significant figures are calculation-based).