⚡ Fast Revision: Physical Quantities
- Physical Quantity: Any quantity that can be measured (e.g., Length, Mass).
- Measurement: Comparison of an unknown quantity with a known fixed quantity (Unit).
- Standard Unit: A unit used consistently by everyone for accuracy (SI Units).
Mass: Quantity of matter | SI Unit: kilogram (kg)
Beam Balance: Standard tool for measuring mass.
| Mass Unit | Relationship |
|---|---|
| 1 gram (g) | 1/1000 kg |
| 1 milligram (mg) | 1/1000 g |
| 1 Quintal | 100 kg |
Using Mass and Weight interchangeably. Fix: Mass is constant everywhere; Weight changes with gravity. (Mass = kg, Weight = Newton).
⚡ Fast Revision: Length & Its Measurement
- Length: The distance between any two points.
- Tools: Metre scale (for straight lines) and Measuring tape (for curved surfaces).
- Least Count: The smallest value a scale can measure (usually 1 mm for a school scale).
Length: L | SI Unit: Metre (m)
Conversions: 1 km = 1000 m | 1 m = 100 cm | 1 cm = 10 mm
Measuring from the very edge of a worn-out scale. Fix: Start from the 1 cm mark and subtract 1 cm from the final reading.
| To Measure... | Use This Tool |
|---|---|
| Girth of a Tree | Measuring Tape / Thread |
| Thickness of a Wire | Screw Gauge |
| Straight Line | Metre Scale |
⚡ Fast Revision: Time & Temperature
- Time: The interval between two events.
- Standard: One Mean Solar Day is divided into 24 hours.
- Modern Tools: Digital watches and Stopwatches for precision.
Time: t | SI Unit: Second (s)
Temperature: T | SI Unit: Kelvin (K)
| Type | Range / Purpose | Liquid Used |
|---|---|---|
| Laboratory | -10°C to 110°C | Mercury / Alcohol |
| Clinical | 35°C to 42°C | Mercury (with Kink) |
37°C or 98.6°F
Jerking a Laboratory thermometer. Fix: Only a Clinical thermometer needs a jerk to lower the mercury level; Lab thermometers don't have a kink.
⚡ Fast Revision: Area & Volume
- Definition: The total surface occupied by an object.
- Regular Shapes: Calculated using mathematical formulas.
- Irregular Shapes: Measured using Graph Paper (counting squares).
Area: A | SI Unit: Square metre (m²)
Volume: V | SI Unit: Cubic metre (m³)
Liquid Capacity: Litre (L) | 1000 cm³ = 1 L
Cube: Side × Side × Side
Cuboid: Length × Breadth × Height
Reading the top curve of a water surface. Fix: For water, always read the lower meniscus. For mercury, read the upper meniscus.
⚡ Fast Revision: Density & Floating
- Density: Mass per unit volume of a substance.
- Compactness: It tells us how tightly matter is packed together.
- Floating Rule: Objects with density less than water float; more than water sink.
Density = Mass / Volume
(d = m / V)
SI Unit: kg/m³ (kg m⁻³)
CGS Unit: g/cm³
Conversion: 1 g/cm³ = 1000 kg/m³
| Condition | Result |
|---|---|
| Density of Object < Density of Liquid | Object Floats |
| Density of Object > Density of Liquid | Object Sinks |
Thinking heavier objects always sink. Fix: An iron nail sinks, but a massive iron ship floats because the ship's average density is less than water.