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
96 exam-style questions on CIE IGCSE Physics 2.2.1 Thermal expansion of solids, liquids and gases. Each one has a worked solution and a mark scheme showing where the marks go.