Physics (AS & A Level) · May / June 2021 · Paper 42 · Question 3

A U-shaped tube contains some liquid. The liquid column in each half of the tube has length L, as shown in Fig. 3.1. L L Fig. 3.1 Fig. 3.2 The liquid columns are displaced vertically. The liquid then oscillates in the tube. The liquid levels are displaced from the equilibrium positions as shown in Fig. 3.2. The acceleration a of the liquid in the tube is related to the displacement x by the expression a = − ⎛ ⎞ ⎝ ⎠ g L x where g is the acceleration of free fall. x x

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