Physics (AS & A Level) · May / June 2019 · Paper 41 · Question 3

A hollow tube, sealed at one end, has a cross-sectional area A of 24 cm2. The tube contains sand so that the total mass M of the tube and sand is 0.23 kg. The tube floats upright in a liquid of density t, as illustrated in Fig. 3.1. liquid, density t tube, area of cross-section A h sand Fig. 3.1 The depth of the bottom of the tube below the liquid surface is h. The tube is displaced vertically and then released. The variation with time t of the depth h is shown in Fig. 3.2. 0 0 2 4 6 8 0.2 0.4 0.6 0.8 1.0 1.2 1.4 t / s h / cm Fig. 3.2

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