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Applications of the Doppler Effect

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1. A cyclist and a railway train are approaching each other. The cyclist is moving at 10m/s and the train at 20m/s. the engine driver sounds a warning siren at a frequency of 480 Hz. Calculate the frequency heard by the cyclist (a) before and (b) after the train has passed by. (speed of sound in air = 340m/s).

2. For the equation of plane progressive IR wave travelling through a transparent medium is:

E = 2 x 10-8 sin 2п (1.3 x 107 y - 1.9 x 1015 t)

Find the frequency, wavelength, amplitude and velocity of the wave in the medium.

Wavelength = 4.83 x 10 -7 m

Amplitude = 2 x 10-8 m

C = 1.46 m/s

F=3.02 x 10-7 Hz

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This solution provides solutions to questions the apply the Doppler effect.

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