Physics (AS & A Level) · Oct / Nov 2018 · Paper 42 · Question 4

A U-tube contains liquid, as shown in Fig. 4.1. liquid L x x Fig. 4.1 Fig. 4.2 The total length of the liquid column is L. The column of liquid is displaced so that the change in height of the liquid level from the equilibrium position in each arm of the U-tube is x, as shown in Fig. 4.2. The liquid in the U-tube then oscillates such that its acceleration a is given by the expression a L g x 2 =-d n where g is the acceleration of free fall.

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