In this chapter, the following topics are important for long questions in board exams:
Make reasonable estimates of the values of physical quantities (e.g., mass of a person, speed of a car, distance between cities, etc.). Explain why estimation is important in physics and how to make reasonable guesses based on everyday experiences.
Explain the International System of Units (SI). Use the conventions for indicating units as set out in the SI units. Describe the seven base quantities and their base units (meter, kilogram, second, ampere, kelvin, mole, candela).
Express derived units as products or quotients of the SI base units. Give examples of derived units such as newton (kg m s⁻²), joule (kg m² s⁻²), watt (kg m² s⁻³), pascal (kg m⁻¹ s⁻²), etc. Show how to derive these units from basic formulas.
Analyze the homogeneity of physical equations through dimensional analysis. Explain that for an equation to be correct, the dimensions on both sides must be the same. Show how to check if an equation is dimensionally correct.
Derive formulae in simple cases using dimensional analysis. Show how to find the relationship between physical quantities by using their dimensions. For example, derive the formula for time period of a pendulum or drag force.
Analyze and critique the accuracy and precision of data collected by measuring instruments. Explain the difference between accuracy (how close a measurement is to the true value) and precision (how consistent repeated measurements are).
Explain why all measurements contain some uncertainty. Assess the uncertainty in a derived quantity by simple addition of absolute, fractional, or percentage uncertainties. Show how to add uncertainties when quantities are added, subtracted, multiplied, or divided.
Quote answers with correct scientific notation. Explain how to express very large or very small numbers using scientific notation. Give examples: 0.00035 = 3.5 × 10⁻⁴, 3500000 = 3.5 × 10⁶.
Quote answers with the correct number of significant figures. Explain the rules for determining significant figures and how to round off answers to the appropriate number of significant figures.