Question 22M.2.HL.TZ2.b
| Date | May 2022 | Marks available | [Maximum mark: 4] | Reference code | 22M.2.HL.TZ2.b |
| Level | HL | Paper | 2 | Time zone | TZ2 |
| Command term | Determine | Question number | b | 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.
The motion sensor operates by detecting the sound waves reflected from the base of the mass. The sensor compares the frequency detected with the frequency emitted when the signal returns.
The sound frequency emitted by the sensor is 35 kHz. The speed of sound is 340 m s−1.
Determine the maximum frequency change detected by the sensor for test 2.
[4]
read off of 9.4 «m s−1» ✓
use of OR ✓
f = 36 «kHz» OR 34 «kHz» ✓
«recognition that there are two shifts so» change in f = 2 «kHz» OR f = 37 «kHz» OR 33 «kHz» ✓
Allow a range of 9.3 to 9.5 for MP1
Allow ECF from MP1.
MP4 can also be found by applying the Doppler effect twice.
