important physics derivations class 11

Important physics Derivations/ Topics for class XI

 

Chapter 1: Physical World

  • No derivation from this chapter

Chapter 2: Units and Measurements

  • Errors in measurements
  • Significant Figures
  • Calculating Dimensions of Physical quantities
  • Dimensional analysis and its applications (Most important from this chapter)

UNIT 2: Kinematics

Chapter 3: Motion in a straight line

  • Average Speed, Average velocity, Instantaneous speed, Instantaneous velocity (Numerical problems)
  • Equations of Motion (Derivation using graphical method) & (Numerical problems)
  • Velocity-time and Position-time graphs (Very important)

Chapter 4: Motion in a Plane

  • Triangle law and Parallelogram law of Vector addition (Numerical problems)
  • Equation of path of the projectile (Derivation) ( important)
  • Derivations of maximum height, time, and range of projectile motion (Derivation) (Very important)
  • Dot product and Cross product (Numericals) , Finding Angle b/w two vectors (Numericals)
  • Uniform circular motion (Numerical problems)

UNIT 3: Laws of Motion

Chapter 5: Laws of motion

  • Impulse momentum theorem (Derivation)
  • Law of conservation of linear momentum (Derivation)
  • Angle of repose & Angle of friction (Derivation)
  • centripetal force (Numerical problems)
  • vehicle on a level circular road  (Expression of condition for a car to move in a circular path on a level road without skidding (Derivation)
  • vehicle on a banked road:- maximum speed with which a vehicle can safely negotiate a curved road (Derivation) (Very important)

UNIT 4: Work, Energy, and Power

  • Work done by a variable force (Numerical problems)
  • Work-energy theorem (Derivation)
  • The potential energy of a spring (Derivation)
  • Elastic and inelastic collisions in one and two dimensions (Derivation)

UNITS 5: Motion of System of Particles and Rigid Body

Chapter 7: System of Particles and Rotational Motion

  • Centre of mass (Numerical problems(Very important)
  • Parallel and perpendicular axes theorems (Very important) (Some schools have included it, despite being deleted by CBSE in 2024-25.) So prepare Very Accordingly.
  • Law of conservation of angular momentum (Numerical problems)
  • Relation b/w Moment of inertia and kinetic energy
  • Relation b/w Moment of inertia and torque
  • Equations of motion (in rotational motion)

UNIT 6: Gravitation

  • Kepler’s 3 laws of gravitation (Numerical problems(Very important)
  • The universal law of Gravitation (Numerical problems)
  • Acceleration is due to gravity and its variation with altitude and depth (Derivation) (Important)
  • Gravitational Potential Energy and gravitational potential
  • Escape velocity (Derivation & Numerical problems)(Very important)
  • orbital velocity of Satellite (Derivation(Important)
  • Geo-stationary satellites

Chapter 9: Mechanical Properties of Solids

    • Hooke’s law & Stress-strain relationship (Graph based questions)
    • Young’s modulus, Bulk modulus, shear modulus of Rigidity (Numerical problems)
    • Elastic potential energy (Derivation)

Chapter 10: Mechanical Properties of Fluids

    • Pressure due to a fluid column (P = rho g h )
    • hydraulic lift and hydraulic brakes (Numerical problems)
    • Effect of gravity on fluid pressure (Numerical problems)
    • Stoke’s law
    • Terminal velocity (Derivation)
    • Critical velocity (Derivation & Numerical problems) (Very important)
    • Bernoulli’s theorem (Derivation(Most important)
    • Surface energy and surface tension (Derivation) (prove that these are numerically equal.)
    • Excess pressure inside a bubble (Derivation)
    • capillary rise (Derivation)
    • capillary rise in a capillary of insufficient height (Derivation)

Chapter 11: Thermal Properties of Matter

    • Numerical based on Thermal Expansion (Alpha, beta , Gamma ratio)
    • Cp- Cv = R (Derivation)
    • Calorimetry (Numerical problems) (Very important)
    • Thermal conductivity
    • Wein’s displacement law (important)
    • Stefan’s law(important)

UNIT 8: Thermodynamics

    • Mayer’s formula (Cp-Cv=R) (Derivation)
    • Carnot cycle and Carnot theorem(Derivation) (Very important) (Some schools have included it, despite being deleted by CBSE in 2024-25.) So prepare Very Accordingly.
    • The first law of Thermodynamics (Q = W + delta U) (Numerical problems) (Very important)
    • Isothermal and adiabatic processes (Graph based questions) & (Numerical problems)
    • reversible and irreversible processes (Graph based questions)
    • Heat engine and refrigerator (Deleted in CBSE 2024-25 syllabus)

UNIT 9: Behavior of Perfect Gases and Kinetic theory of Gases

Chapter 13: Kinetic Theory of gases (KTG)

    • PV= nRT (Conceptual understanding)
    • Work done in compressing a gas
    • Kinetic theory of gases – assumptions (important)
    • Pressure exerted by a gas, on the bases of KTG (Very important)
    • Relation b/w Kinetic energy and temperature of a gas
    • RMS speed of molecules(Derivation) & (Numerical Problems) (important)
    • Mean free path of gases (Derivation)

UNIT 10: Oscillation and Waves

Chapter 14: Oscillations

    • Differential equation of S.H.M (Derivation)
    • x-t, v-t, a-t Graphs (Conceptual understanding)
    • S.H.M :- Kinetic Energy , Potential energy and Total energy (Derivation)
    • Time period of a simple pendulum (Derivation)

Chapter 15: Waves

    • Velocity of a transverse wave
    • Velocity of a longitudinal wave
    • Equation of plane progressive wave
    • Relation b/w particle velocity and wave velocity
    • Newton’s formula for the speed of sound & Laplace correction
    • Standing waves in stretched strings
    • Standing waves in organ pipes (important)
    • Fundamental mode and harmonics
    • Beats (Numerical Problems)
    • Doppler effect (Numerical Problems) (Deleted in CBSE 2024-25 syllabus)