A child sits on a rotating horizontal platform in a playground. The child moves with a constant speed along a circular path, as illustrated in [Figure 4.1]. An observer is standing a long distance away from the child. During one particular revolution, the child, moving at a speed of 7.5 m s⁻¹, starts blowing a whistle at point P and stops blowing it at point Q on the circular path. The whistle emits sound of frequency 950 Hz. The speed of sound in air is 330 m s⁻¹.
- (a)State what is meant by the Doppler effect.[2]
- (b)(i)Determine the maximum frequency of the sound heard by the distant observer.[2]
- (b)(ii)Describe the variation in the frequency of the sound heard by the distant observer.[2]
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Mark scheme
Marking points from the official mark scheme (Feb/Mar 2017). The mark or mark type is shown in brackets.
- [M1] (a) change in frequency when source moves relative to observer
- [A1] (a) refers to 'change in observed/apparent frequency'
- [C1] (b)(i) f = (950 × 330)/(330 – 7.5)
- [A1] (b)(i) = 970 (972) Hz
- [M1] (b)(ii) frequency decreases
- [A1] (b)(ii) from greater than 950 Hz/from 970 (972)Hz/to less than 950 Hz/to 930 (929) Hz/by 40 (43) Hz
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