Chapter 1: Physical Quantities & Measurements
This chapter introduces the fundamentals of measurement, physical quantities, SI units, measuring instruments, and errors in measurement.
1.1 Physical and Non-Physical Quantities
Physical quantities are those which can be measured, such as length, mass, time, and temperature. These quantities have magnitude and units. Non-physical quantities such as love, beauty, and emotions cannot be measured and are described qualitatively. :contentReference[oaicite:0]{index=0}
1.2 Base and Derived Physical Quantities
Base quantities are fundamental quantities that cannot be derived from others, such as length, mass, and time. Derived quantities are obtained from base quantities, such as speed, area, and density. Measurement is the comparison of an unknown quantity with a known standard.
Measurement of Physical Quantities
A measurement consists of a numerical value and a unit. Without units, measurements are meaningless. Standard units are necessary to ensure consistency and accuracy in measurements.
1.3 International System of Units (SI)
The SI system is an internationally accepted system of units. It includes seven base units such as metre (m), kilogram (kg), second (s), kelvin (K), ampere (A), candela (cd), and mole (mol). :contentReference[oaicite:1]{index=1}
Example: Speed = Distance / Time → m/s
Derived Units & Prefixes
Derived units are formed from base units, such as newton (N), pascal (Pa), and joule (J). SI prefixes are used to express very large or very small quantities, such as kilo (10³), milli (10⁻³), and micro (10⁻⁶).
1.4 Scientific Notation
Scientific notation is used to express very large or very small numbers conveniently in powers of 10. For example:
1,000,000 = 1 × 106
0.0001 = 1 × 10-4
1.5 Length Measuring Instruments
Length can be measured using instruments such as metre rule, measuring tape, vernier calipers, and screw gauge. Each instrument has a least count which determines its precision. :contentReference[oaicite:2]{index=2}
1.6 Mass Measuring Instruments
Mass is measured using a physical balance or electronic balance. The mass of an object is determined by comparing it with standard masses.
1.7 Time Measuring Instruments
Time is measured using clocks, watches, and stopwatches. Modern digital devices can measure very small intervals of time accurately.
1.8 Volume Measuring Instruments
Volume of liquids is measured using measuring cylinders. Volume of irregular solids can be determined using the displacement method. :contentReference[oaicite:3]{index=3}
1.9 Errors in Measurements
Measurements are never perfectly accurate due to errors. There are three main types of errors:
- Human Errors: Mistakes due to observation or carelessness.
- Systematic Errors: Errors due to faulty instruments or methods.
- Random Errors: Small unpredictable variations in measurements.
1.10 Uncertainty in Measurement
Every measurement has some uncertainty due to limitations of instruments. This uncertainty should be estimated and recorded along with the measurement.
Key Learning Outcomes
- Understand physical and non-physical quantities.
- Differentiate between base and derived quantities.
- Learn SI units and their importance.
- Understand scientific notation and prefixes.
- Use different measuring instruments correctly.
- Understand errors and uncertainty in measurements.