The scale of a liquid-in-glass thermometer has not been marked. The length l l\,l of the liquid column increases uniformly with temperature.
The length l l\,l is measured when the thermometer bulb is placed in water at 0 ∘C0\text{ }^\circ\text{C}0 ∘C, and also when it is in water at 100 ∘C100\text{ }^\circ\text{C}100 ∘C. The table shows the results.
Temperature / ∘CLength l/cm03.010023.0 \begin{array}{|c|c|} \hline \text{Temperature } / \text{ }^\circ\text{C} & \text{Length } l / \text{cm} \\ \hline 0 & 3.0 \\ 100 & 23.0 \\ \hline \end{array} Temperature / ∘C0100Length l/cm3.023.0What is the value of l l\,l when the bulb is placed in water at 40 ∘C40\text{ }^\circ\text{C}40 ∘C?
8.0 cm8.0\text{ cm}8.0 cm
11.0 cm11.0\text{ cm}11.0 cm
12.0 cm12.0\text{ cm}12.0 cm
14.0 cm14.0\text{ cm}14.0 cm
528 exam-style questions on CIE IGCSE Physics 2.2 Thermal properties and temperature, covering 2.2.1 Thermal expansion of solids, liquids and gases, 2.2.2a Internal energy and temperature, 2.2.2b Specific heat capacity, 2.2.3a Melting, boiling, condensation and solidification, 2.2.3b Evaporation, and 2.2.3c Cooling by evaporation. Each one has a worked solution and a mark scheme showing where the marks go.