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Question 23M.3.HL.TZ1.10

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Date May 2023 Marks available [Maximum mark: 5] Reference code 23M.3.HL.TZ1.10
Level HL Paper 3 Time zone TZ1
Command term Calculate, Draw, Explain, Label, State Question number 10 Adapted from N/A
10.
[Maximum mark: 5]
23M.3.HL.TZ1.10

A sphere floats in water. The sphere is pushed downwards by a small amount and is then released.

(a)

Draw and label on diagram B the forces acting on the sphere just after it has been released.

[1]

Markscheme

buoyancy force greater than weight ✓

Award [1] for correct labeling AND relative size.

Allow any point, where the forces are drawn.

Examiners report

A ball on a water surface. Well done; just in calculating the Q factor, some omitted squares of amplitudes, and weaker students did not use the formula correctly.

(b)

After it is released, the sphere performs damped oscillations. The graph shows the variation with time t of the amplitude of oscillations A.

(b.i)

Calculate the Q factor for this system.

[2]

Markscheme

considering consecutive amplitudes ✓

Q = «2π2.0220.22-1.52» = 14 ✓

(b.ii)

The water is replaced by another liquid of higher viscosity. State and explain the effect of this on the Q factor of the system.

[2]

Markscheme

Q will decrease ✓

higher viscosity provides more damping/higher energy dissipated per cycle ✓