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Question 22M.2.HL.TZ1.d

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Date May 2022 Marks available [Maximum mark: 2] Reference code 22M.2.HL.TZ1.d
Level HL Paper 2 Time zone TZ1
Command term Determine Question number d Adapted from N/A
d.
[Maximum mark: 2]
22M.2.HL.TZ1.d

Two loudspeakers A and B are initially equidistant from a microphone M. The frequency and intensity emitted by A and B are the same. A and B emit sound in phase. A is fixed in position.

B is moved slowly away from M along the line MP. The graph shows the variation with distance travelled by B of the received intensity at M.

Loudspeaker A is switched off. Loudspeaker B moves away from M at a speed of 1.5 m s−1 while emitting a frequency of 3.0 kHz.

Determine the difference between the frequency detected at M and that emitted by B.

[2]

Markscheme

ALTERNATIVE 1
use of f'=fvv+u0 (+ sign must be seen) OR f'= 2987 «Hz» ✓
« Δf» = 13 «Hz» ✓

 

ALTERNATIVE 2
Attempted use of Δff≈ vc

« Δf » = 13 «Hz» ✓

Examiners report

Many candidates were successful in setting up a Doppler calculation and determining the new frequency, although some missed the second step of finding the difference in frequencies.