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Question 19M.3.HL.TZ1.a

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Date May 2019 Marks available [Maximum mark: 3] Reference code 19M.3.HL.TZ1.a
Level HL Paper 3 Time zone TZ1
Command term Determine Question number a Adapted from N/A
a.
[Maximum mark: 3]
19M.3.HL.TZ1.a

The graph shows the variation with time t of the total energy E of a damped oscillating system.

The Q factor for the system is 25. Determine the period of oscillation for this system.

[3]

Markscheme

ALTERNATIVE 1

« Q = 2 π E 0 E 0 E 1 » E 1 = ( 1 2 π Q ) E 0  

E 1 « = ( 1 2 π 25 ) × 12 » = 9.0 «mJ»  

reading off the graph, period is 0.48 «s» ✔

Allow correct use of any value of E0, not only at the time = 0.

Allow answer from interval 0.42−0.55 s

ALTERNATIVE 2

use of  Q = 2 π f energy stored power loss

energy stored = 12 «mJ» AND power loss = 5.6 «mJ/s»✔

«f = 1.86 s so» period is 0.54 «s» ✔

Allow answer from interval 0.42−0.55 s.

Award [3] for bald correct answer.

Examiners report

Q factor. Most of the candidates attempted to find the period of the damped system by using the correct formula.