Class 11 Physics Derivations PDF

Chapter **Motion in a straight line** 1\. Derive the three kinematic equations using calculus approach Chapter - **Motion in a plane** 2\. Projectile motion - Derive the equation of trajectory, Time of flight, Max horizontal Range, Max height. 3\. Uniform circular motion -Derive the expression f...

Chapter **Motion in a straight line** 1\. Derive the three kinematic equations using calculus approach Chapter - **Motion in a plane** 2\. Projectile motion - Derive the equation of trajectory, Time of flight, Max horizontal Range, Max height. 3\. Uniform circular motion -Derive the expression for centripetal acceleration Chapter - **Laws of motion** 4\. Prove the law of conservation of momentum 5\. Banking of roads -Derive an expression for max permissible speed on a banked road. Chapter **Work ,Energy & power** 6\. Derive the work energy theorem using calculus approach 7\. Vertical circle - Obtain the expression of speed at lowest and highest point in a vertical circle 8\. Elastic potential energy in a spring block system. [\$\\frac{1}{2}kx\^{2}\$]{.math.inline} 9\. Head on elastic collision in 1 Dimension Obtain the final velocities of the two colliding objects. Chapter - **Rotational motion** 10\. Derive Ƭ = [\$\\frac{\\text{dL}}{\\text{dt}}\$]{.math.inline} , L = I ɷ , Ƭ = Iα 11\. Rotational Kinetic Energy 12\. Kinetic Energy of an object Rolling without slipping. Chapter - **Gravitation** 13\. a) g on the surface of earth b\) g at an altitude h above the earth surface c\) g at s depth d below the earth surface 14\. Gravitational Potential Energy for a two particle system [\$\\frac{- GMm}{r}\$]{.math.inline} 15\. Escape speed 16\. Orbital speed of a satellite Chapter - **Fluids** 17\. Derive Bernoulli\'s Theorem 18\. Derive a formula for terminal velocity of a sphere dropped through a fluid of viscosity 19\. Excess Pressure inside a soap bubble / Liquid drop 20\. Derive the ascent formula for capillary rise. Chapter - **Kinetic Theory of gases** 21\. Derive the expression for pressure of a gas P = [\$\\frac{1}{3}\$]{.math.inline}m [\$\\frac{N}{V}\$]{.math.inline} [ vrms^2^]{.math.inline} 22\. Kinetic interpretation of Temperature E = [\$\\frac{3}{2}\$]{.math.inline} KT , v rms = [\$\\sqrt{}\\frac{3RT}{M}\$]{.math.inline} , 23\. Prove Cp -Cv = R or Mayer\'s formula 24\. Obtain ɣ = Cp/Cv for monoatomic, diatomic and polyatomic gases