Question 22M.2.HL.TZ2.a.i
| Date | May 2022 | Marks available | [Maximum mark: 1] | Reference code | 22M.2.HL.TZ2.a.i |
| Level | HL | Paper | 2 | Time zone | TZ2 |
| Command term | Calculate | Question number | a.i | Adapted from | N/A |
An experiment to investigate simple harmonic motion consists of a mass oscillating at the end of a vertical spring.
The mass oscillates vertically above a motion sensor that measures the speed of the mass. Test 1 is carried out with a 1.0 kg mass and spring of spring constant . Test 2 is a repeat of the experiment with a 4.0 kg mass and spring of spring constant .
The variation with time of the vertical speed of the masses, for one cycle of the oscillation, is shown for each test.
Calculate the frequency of the oscillation for both tests.
[1]
1.3 «Hz» ✓
ai) The majority managed to answer this question correctly.
aii) A very well answered question where most worked correctly from the formula for the period of oscillation of a spring.
aiii) Quite a few answers had vmax from the wrong test.
aiv) Most common answers were a correct 2 peak curve, a correct 1 peak curve and a sine curve. Several alternatives were included in the MS as the original data provided in the question was inconsistent, i.e. 44 J is not the maximum kinetic energy available for the second test, and that was taken into account not to disadvantage any candidate´s interpretation.
b) Many got the first three marks for a correct Doppler shift calculation from the correct speed. . There were very few good correct full answers, might be a question to look at for 6/7 during grading.
