A galloping pony speeds past you at 5 m/s. The frequency of the sound produced by the hooves on the dirt is 221 Hz. Assume the s
peed of sound to be 342 m/s. What is the observed frequency of the hooves after the pony has passed your position? 1. 218 Hz
2. 226 Hz
3. 216 Hz
4. 224 Hz
Given: speed of passing pony 5 m/s frequency of the sound produced: 221 Hz speed of sound 342 m/s
Let us use the Doppler Shift Formula: Where the <span>source is moving away from the observer at rest </span> f' = (v / v+vs) f Where, vs<span> = Velocity of the Source,</span> v = Velocity of sound or light in medium, f = Real frequency, f' = Apparent frequency.
f'= [342 m/s / (342 m/s+5m/s)] * 221 Hz f' = 0.9856 * 221Hz f' = 217.8176 Hz or 218 Hz
The observed frequency <span>of the hooves after the pony has passed your position is 218 Hz.</span>
