Physics 9702 · AS & A Level · Interference

Interference — practice question

(a(i))[2]

A loudspeaker vibrates with frequency f and produces sound waves of wavelength \lambda. The loudspeaker completes N oscillations in time t. State expressions, in terms of some or all of the symbols f, \lambda and N, for: (1) the distance travelled by a wavefront in time t, and (2) the time t.

(a(ii))[1]

Use your answers in part (a)(i) to deduce the equation that links the speed v of the sound wave with f and \lambda.

(b)[2]

The waveform of a sound wave is shown on the screen of a cathode-ray oscilloscope (c.r.o.), as in Fig. 5.1. The time-base setting is 0.20\,\text{ms cm}^{-1}. Determine the frequency of the sound wave.

(c(i))[1]

Two sources S_1 and S_2 of sound waves are arranged as shown in Fig. 5.2. The sources emit coherent sound waves of wavelength 0.85\,\text{m}. Explain what is meant by coherent waves.

(c(ii))[1]

State the phase difference between the two waves reaching the minimum-loudness point Q that is nearest to point X.

(c(iii))[2]

Distance S_1X equals distance S_2X. Distance S_2Y is 7.40\,\text{m}. Determine the distance S_1Y.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: N\lambda

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