A car approaches a stationary police car at 36 m/s. The frequency of the siren (as heard in the police car) is 500 Hz. What is the frequency (in Hz) heard by an observer in the moving car as he approaches the police car

Respuesta :

The frequency heard by an observer in the moving car as he approaches the police car is 558.6 Hz.

Frequency hear by the observer

The frequency heard by the observer is calculated by applying the principle of Doppler effect.

f₀ = f'[(v/v - vs)]

where;

  • f₀ is the observed frequency
  • v is speed of sound = 343 m/s
  • vs is the speed of the source

f₀ = 500[(343 / 343 - 36)]

f₀ = 500(343/307)

f₀ = 558.6 Hz

Thus, the frequency heard by an observer in the moving car as he approaches the police car is 558.6 Hz.

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