A motorcycle starts from rest and accelerates along a straight path at 2 metre per second square. At the starting location of the motorcycle there is a station electric siren. how far has the motorcycle gone when the driver hears the frequency of the siren at 94% of its value when the motorcycle was addressed the speed of the sound is 330 metre per second?1)49m2)147m3)98m4)196m

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Vikas TU · Answer

Doppler's effect of frequency of source of sound when source is stationary and the observer is moving away from source of sound is given by: ν' = ν ×(v-v o )/v We are given ν' =90/100 ν, v = 300m/s and v 0 = 2√s Therefore 90/100 ν = ν x(300−2√s)/300 or 270 = 300−2√s or 2√s = 30 or s = 225m

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