A forensic engineer retrieved an unidentified metallic fragment from a vintage turbine blade. To assist with identification, the engineer measured its dimensions and mass, determining its density to be 7820±120 kg/m37820 \pm 120\text{ kg/m}^37820±120 kg/m3.
State the minimum and maximum possible values for the density of this fragment based on the measurement uncertainty.
Table 1 shows the nominal densities and associated manufacturing tolerances for five candidate industrial alloys.
Table 1
| Alloy | Density in kg/m3\text{kg/m}^3kg/m3 |
|---|---|
| Inconel 718 | 8190±1508190 \pm 1508190±150 |
| Stainless Steel 304 | 7900±1107900 \pm 1107900±110 |
| Titanium Ti-6Al-4V | 4430±504430 \pm 504430±50 |
| Carbon Steel | 7800±907800 \pm 907800±90 |
| Nickel-Copper Monel | 8800±1808800 \pm 1808800±180 |
Identify which two alloys from Table 1 could match the fragment. Explain your reasoning by showing the relevant density ranges.
22 exam-style questions on AQA GCSE Physics 3.1 Changes of state and the particle model, covering 3.1.1 Density of materials and 3.1.2 Changes of state. Each one has a worked solution and a mark scheme showing where the marks go.