A stationary loudspeaker emits sound of constant frequency. A microphone is placed near to the loudspeaker and connected to a cathode-ray oscilloscope (CRO). The trace on the screen of the CRO is shown in [Figure 5.1]. The time-base of the CRO is set to 5.0 × 10⁻⁴ s cm⁻¹.
- (a)The speed of the sound emitted by the loudspeaker is 330ms⁻¹. Determine the wavelength of the sound. wavelength = ................................................................m [3][3]
- (b)The loudspeaker now moves in a straight line while emitting the same sound of constant frequency. The period of the trace on the CRO increases continuously. Describe the motion of the loudspeaker.[2]
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Mark scheme
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- C1 T = 5.8 × 5.0 × 10-4
- = 2.9 x 10-3
- C1 λ = vT or v = fl and f = 1 / T
- A1 λ = 330 × 2.9 × 10-3 or λ = 330 / 345
- = 0.96 m
- B1 (loudspeaker) moves away (from the microphone)
- B1 at an increasing speed / whilst accelerating
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