Physics — Motion, Forces, Fluids, Heat, Light & Electricity
1. Motion in One Dimension
Key Equations of Motion (Uniform Acceleration)
| Equation | Relates |
|---|---|
| v = u + at | v, u, a, t |
| s = ut + ½at² | s, u, a, t |
| v² = u² + 2as | v, u, a, s |
u = initial velocity. v = final velocity. a = acceleration. t = time. s = displacement.
Displacement-Time and Velocity-Time Graphs
- v-t graph: slope = acceleration. Area under = displacement.
2. Newton's Laws of Motion
| Law | Statement |
|---|---|
| First (Inertia) | An object remains at rest or in UNIFORM MOTION unless acted upon by an external UNBALANCED force. |
| Second | F = ma. Force = mass × acceleration. Unit: Newton (N). 1 N = 1 kg m/s². |
| Third | For every action, there is an EQUAL and OPPOSITE reaction. Action and reaction act on DIFFERENT bodies. |
Inertia
The TENDENCY of an object to RESIST change in its state of motion. Mass is the measure of inertia. More mass = more inertia.
3. Pressure in Fluids and Upthrust (Buoyancy)
Pressure
P = F/A (Pressure = Force/Area). Unit: Pascal (Pa). Liquids: P = hρg (pressure at depth h).
Pascal's Law
Pressure applied to an ENCLOSED fluid is transmitted EQUALLY in all directions. Hydraulic press.
Archimedes' Principle
'When a body is PARTIALLY or WHOLLY immersed in a fluid, it experiences an UPWARD FORCE (upthrust/buoyancy) EQUAL to the WEIGHT of the FLUID DISPLACED.'
Floatation
- Object SINKS: Weight > Upthrust. Density > fluid.
- Object FLOATS: Weight = Upthrust. Density < fluid.
4. Heat and Energy
Temperature Scales
- Celsius (°C). Kelvin (K = °C + 273). Fahrenheit (°F = (9/5)°C + 32).
Thermal Expansion
Solids, liquids, and gases EXPAND when heated. 'Railway tracks have gaps. Bridges have expansion joints. This is physics — not poor construction.'
Specific Heat Capacity
Amount of heat needed to raise 1 kg of a substance by 1°C. Water has a HIGH specific heat → used as a COOLANT.
Latent Heat
Heat absorbed/released during a CHANGE OF STATE — without change in temperature.
- Latent heat of fusion: Solid ↔ Liquid (ice → water: 336 J/g at 0°C)
- Latent heat of vaporisation: Liquid ↔ Gas (water → steam: 2260 J/g at 100°C)
Energy Sources
Renewable (solar, wind, hydro, biomass) vs. Non-renewable (coal, oil, natural gas — fossil fuels). 'The future is RENEWABLE.'
5. Light — Reflection
Laws of Reflection
- Angle of incidence (i) = Angle of reflection (r)
- Incident ray, reflected ray, and normal all lie in the SAME PLANE.
Plane Mirror
Image: VIRTUAL, ERECT, SAME SIZE, LATERALLY INVERTED, as far BEHIND the mirror as the object is in front.
Spherical Mirrors
| Concave | Convex | |
|---|---|---|
| Shape | Curved INWARD | Curved OUTWARD |
| Images | Real/Virtual. Magnified/Diminished. | Always VIRTUAL, DIMINISHED, ERECT. |
| Uses | Torches, shaving mirrors, dentists' mirrors | Rear-view mirrors. Shop security. |
Mirror Formula: 1/f = 1/u + 1/v. Magnification: m = —v/u = hᵢ/hₒ.
- f = focal length. u = object distance (NEGATIVE). v = image distance.
6. Static Electricity
Electric Charges
- TWO types: POSITIVE and NEGATIVE. Like charges REPEL. Unlike ATTRACT.
- Charging by: FRICTION (rubbing). CONDUCTION (contact). INDUCTION (without contact).
The Electroscope
Device to DETECT electric charge. Gold-leaf electroscope — leaves DIVERGE when charged.
Lightning and Lightning Conductors
Lightning = MASSIVE static discharge between clouds and earth. Lightning conductor = metal rod on building roof, connected to earth — provides a safe PATH for the charge.
7. Magnetism
Magnetic Field Lines
- Originate from NORTH pole. Enter at SOUTH pole.
- NEVER intersect. CLOSER lines = STRONGER field.
Induced Magnetism
A magnetic material becomes a MAGNET when brought NEAR a permanent magnet. The NEAR end acquires the OPPOSITE polarity.
Electromagnetism
Current through a coil (solenoid) → MAGNETIC FIELD. Strength increased by: more turns, more current, soft iron CORE.
