The exercise questions in this chapter are based on these topics:

1. Estimation Questions

• Estimate the mass of a person, a car, a book, etc.

• Estimate the speed of a car, a walker, a train, etc.

• Estimate the distance between two cities, height of a building, etc.

• Make reasonable estimates based on everyday experience.

2. Dimensional Analysis

• Check the homogeneity of given equations.

• Find the dimensions of given physical quantities.

• Derive formulae for simple physical situations using dimensional analysis.

• Identify the dimensions of constants in given equations.

3. Unit Conversions and Prefixes

• Express quantities using SI prefixes (kilo, mega, milli, micro, etc.).

• Convert between different units (e.g., km to m, g to kg, hours to seconds).

• Express derived units in terms of base units.

4. Uncertainty Calculations

• Calculate absolute, fractional, and percentage uncertainty for given measurements.

• Find the uncertainty in derived quantities (addition, subtraction, multiplication, division).

• Determine the uncertainty in results from given data.

5. Scientific Notation

• Express given numbers in scientific notation.

• Convert numbers from scientific notation to ordinary notation.

• Perform calculations and quote answers in correct scientific notation.

6. Significant Figures

• Count the number of significant figures in given numbers.

• Round off answers to the correct number of significant figures.

• Perform calculations and quote answers with the correct number of significant figures.

7. Accuracy and Precision

• Explain the difference between accuracy and precision.

• Analyze given data sets for accuracy and precision.

• Critique measuring instruments based on their precision.

8. Solving Problems

• Solve numerical problems involving unit conversions, dimensional analysis, and uncertainty calculations.

• Quote final answers with correct units, significant figures, and scientific notation.