Worksheet Chapter 1: Physical Quantities and Measurements

1. True or False: If a graph of y against 1x produces a straight line passing through the origin, then y is inversely proportional to x.

2. A car accelerates uniformly from rest at 2.5 m s⁻² for a duration of 12 seconds. Calculate the final velocity in km h⁻¹.

3. A student plots a graph of period squared (T²) against length (l) for a simple pendulum. The straight-line graph passes through the origin with a gradient of 4.02 s² m⁻¹. Given the formula T² = (4π² / g) l, calculate the value of gravitational acceleration g.

4. Categorise the following physical quantities into Scalar or Vector quantities: Displacement, Energy, Momentum, Temperature, Weight.

5. An oil tanker travels at a constant speed of 18 knots (1 knot = 0.514 m s⁻¹). Express this speed in terms of SI base units and calculate the total distance traveled in kilometres over 2 hours.

6. The pressure P exerted by a liquid is given by the formula P = h ρ g, where h is height (m), ρ is density (kg m⁻³), and g is gravitational acceleration (m s⁻²). Derive the SI unit for pressure in base units.

7. Fill in the blank: The seven primary physical quantities that cannot be defined in terms of other physical quantities are known as ________ quantities.

8. True or False: Electric current is a derived quantity because it flows through a circuit.