Question

A police car is moving to the left at 34m/sec while its siren is emitting a 600Hz tone. What tone would you hear if you were parked along side the road

Answer 1

`545.89\ \text{Hz}`

Step-by-step explanation:

`v_o` = Velocity of observer = 0

`v_s` = Velocity of source = 34 m/s

v = Speed of sound in air = 343 m/s

f = Emitted frequency = 600 Hz

Doppler effect will be observed

`f_o=f((v+v_o)/(v+v_s))\\\Rightarrow f_o=600((343+0)/(343+34))\\\Rightarrow f_o=545.89\ \text{Hz}`

The frequency heard will be
`545.89\ \text{Hz}`.