Syllabus

Physics 

🔹 Unit I – Simple Harmonic Motion (SHM) – I

Basic Concepts

1. Oscillatory Motion

2. Simple Harmonic Motion – Meaning and Characteristics

Mathematical Treatment

3. Differential Equation of SHM and its Solution

4. Velocity and Acceleration of SHM

Graphical Representation

5. Displacement–Time Graph

6. Velocity–Time Graph

7. Acceleration–Time Graph

Time Period & Energy

8. Time Period and Frequency of SHM

9. Energy of a Simple Harmonic Oscillator

Examples of SHM

10. Spring–Mass System

11. Simple Pendulum

12. Compound Pendulum

13. Torsion Pendulum

🔹 Unit II – Simple Harmonic Motion (SHM) – II

Superposition of SHM

1. Resultant of Two SHMs in the Same Direction

2. Lissajous Figures

3. Graphical Method for Lissajous Figures

Damped Oscillations

4. Damping Force

5. Differential Equation of Damped Harmonic Oscillator

6. Solution of Damped Oscillator

Forced Oscillations

7. Differential Equation of Forced Harmonic Oscillator

8. Solution of Forced Oscillator

🔹 Unit III – Elasticity

Basic Concepts

1. Meaning and Types of Elasticity

Twisting Couple

2. Twisting Couple on a Cylindrical Rod/Wire

   • Loaded at One End

   • Loaded at the Centre

Rigidity

3. Determination of Modulus of Rigidity by Maxwell’s Needle

Bending of Beam

4. Bending of Beam

5. Bending Moment

6. External and Internal Bending Moments

7. Cantilever

8. Expression for Depression of a Loaded Beam

🔹 Unit IV – Surface Tension and Viscosity

Surface Tension

1. Introduction

2. Molecular Theory of Surface Tension

3. Surface Film

4. Surface Energy

5. Excess Pressure inside Drop and Soap Bubble

6. Contact Angle

7. Rise of Liquid in Capillary Tube

Viscosity

8. Poiseuille’s Equation

9. Stokes’ Law

10. Terminal Velocity

11. Critical Velocity

12. Reynolds Number

1. Understand the mathematical representation of simple harmonic motion using equations and graphs.

2. Relate position, velocity and acceleration in simple harmonic motion.

3. Relate the phase of motion to velocity and acceleration.

4. Apply the principles of simple harmonic motion to real-world applications.

5. Interpret stress-strain curves for different materials.

6. Differentiate between elastic and plastic deformation.

7. Understand how elasticity varies in different materials (metals, polymers, ceramics)

8. Differentiate between cohesive and adhesive forces.

9. Identify and explain the role of surface tension in everyday phenomena, such as soap bubbles, wetting