Class 11 Physics: The 26 Most Important Derivations

Soumya Sir's Physics Class THE 26 MOST IMPORTANT DERIVATIONS Class 11 Final Exam Essentials

Unit 1 & 2: Kinematics

1. Equations of Motion (Calculus Method) ⭐⭐⭐⭐⭐

2. Projectile Motion (Trajectory Equation) ⭐⭐⭐⭐

3. Projectile: Time, Height, Range Formulas ⭐⭐⭐⭐⭐

4. Centripetal Acceleration ($a = v^2/r$) ⭐⭐⭐

Unit 3: NLM & Work Energy

5. Banking of Roads (With Friction) ⭐⭐⭐⭐⭐

6. Work-Energy Theorem (Variable Force) ⭐⭐⭐⭐

7. Elastic Collision in 1D (Velocities) ⭐⭐⭐⭐⭐

8. Potential Energy of a Spring ⭐⭐⭐

Unit 4: Rotation (Hardest)

9. Torque & Angular Momentum ($\tau = dL/dt$) ⭐⭐⭐⭐

10. Kinetic Energy of Rolling Motion ⭐⭐⭐

11. Conservation of Angular Momentum ⭐⭐⭐

Unit 5: Gravitation

12. Variation of 'g' with Height & Depth ⭐⭐⭐⭐⭐

13. Escape Velocity Formula ⭐⭐⭐⭐

14. Orbital Velocity & Time Period ⭐⭐⭐⭐⭐

Unit 6: Solids & Fluids (Important)

15. Bernoulli’s Principle ⭐⭐⭐⭐⭐

16. Terminal Velocity (Stoke’s Law) ⭐⭐⭐⭐

17. Excess Pressure (Bubble & Drop) ⭐⭐⭐

18. Capillary Rise (Ascent Formula) ⭐⭐⭐⭐

Unit 7: Thermodynamics

19. Mayer’s Relation ($C_p - C_v = R$) ⭐⭐⭐⭐⭐

20. Work Done: Isothermal & Adiabatic ⭐⭐⭐⭐

21. Pressure of Ideal Gas ($P=\frac{1}{3}\rho v^2$) ⭐⭐⭐

22. Carnot Engine Efficiency ⭐⭐⭐⭐

Unit 8: Waves & SHM

23. Total Energy in SHM ⭐⭐⭐⭐

24. Time Period of Simple Pendulum ⭐⭐⭐⭐⭐

25. Newton-Laplace Formula (Sound Speed) ⭐⭐⭐

26. Standing Waves (Organ Pipes) ⭐⭐⭐⭐

💡 Pro-Tip for Class 11:
Class 11 derivations often require Integration. If you are weak in calculus, memorize the "First Step" (setup) and "Last Step" (result) perfectly, and try to bridge the gap logically.
Always draw the Free Body Diagram (FBD) for Mechanics derivations.

Master These & Secure 25+ Marks.

Prepared by Soumya Sir