A student wants to find the density of the metal used to make a type of coin.
She stacks 20 identical coins in a pile and measures the height of the pile with a ruler. She measures the diameter of one coin with the same ruler.
Her results are:
The volume of a cylinder =π×radius2×height= \pi \times \text{radius}^2 \times \text{height}=π×radius2×height
Calculate the density of the metal.
Give your answer in g/cm3\text{g/cm}^3g/cm3 to 2 significant figures.
Explain why the student measured the height of a pile of 20 coins instead of the thickness of one coin.
Suggest one improvement to the way the student measured the diameter of the coins.
The faces of the coins have raised patterns, so the coins do not sit flat against each other in the pile.
Explain the effect this has on the density the student calculates.
44 exam-style questions on OCR GCSE Physics 1.1 The particle model, covering 1.1.1 Development of the atomic model, 1.1.2 Structure of the atom, 1.1.3 The size of atoms and small molecules, 1.1.4 Density, 1.1.5 Density and the states of matter, and 1.1.6 Density, mass and volume. Each one has a worked solution and a mark scheme showing where the marks go.