DP Physics (last assessment 2024)

Question 23M.3.HL.TZ2.11

Date	May 2023	Marks available	[Maximum mark: 3]	Reference code	23M.3.HL.TZ2.11
Level	HL	Paper	3	Time zone	TZ2
Command term	Calculate, Explain, State	Question number	11	Adapted from	N/A

11.

[Maximum mark: 3]

23M.3.HL.TZ2.11

A mass vibrating on a vertical spring is driven by a sinusoidal force. The graph shows the variation of the amplitude of vibration with driving frequency for the mass. The damping initially applied to the vibrating system has a Q factor of 50.

(a)

The damping is changed so that the Q factor is decreased. State and explain one change to the graph.

[2]

Markscheme

Q decreases so damping increases ✓

amplitude is lower «everywhere»

peak shifts left / to lower frequency ✓

(b)

The driving force is removed and the spring now oscillates freely with a Q factor of 30.

Calculate the fraction of the total energy that has dissipated after one cycle is completed.

[1]

Markscheme

$\frac{2 π}{30}$ «= $\frac{energy dissipated per cycle}{energy stored}$ » = 0.21 or 21 %

Accept in exact form as $\frac{2 π}{30}$ or $\frac{π}{15}$

Question 23M.3.HL.TZ2.11

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