A U-tube contains liquid, as shown in [Figure 3.1]. The total length of the column of liquid in the tube is L. The column of liquid is displaced so that the change in height of the liquid in each arm of the U-tube is x, as shown in [Figure 3.2]. The liquid in the U-tube then oscillates with simple harmonic motion such that the acceleration a of the column is given by the expression a = –(2g/L)x where g is the acceleration of free fall.

Q: What topic does this question test?

This question tests Oscillations in A-Level Physics (syllabus code 9702). It is worth 7 marks.

Q: Which exam paper is this question from?

This question appeared in the Cambridge A-Level Physics Oct/Nov 2018 examination, Paper 4 Variant 1 (9702_w18_qp_41.pdf).

Question

A U-tube contains liquid, as shown in [Figure 3.1]. The total length of the column of liquid in the tube is L. The column of liquid is displaced so that the change in height of the liquid in each arm of the U-tube is x, as shown in [Figure 3.2]. The liquid in the U-tube then oscillates with simple harmonic motion such that the acceleration a of the column is given by the expression a = –(2g/L)x where g is the acceleration of free fall.

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