A stationary highway patrol vehicle is equipped with radar of frequency 2460.0 M

Question

A stationary highway patrol vehicle is equipped with radar of frequency 2460.0 MHz. The beam is reflected from a car moving at 37.0 m/s. What is the frequency shift of the reflected signal received by the stationary highway patrol?

clue: The officer sends a wave which a moving car receives. What is the frequency of that wave? The reflection of the wave is the same behavior as if the moving car recorded the frequency that it received and then sent a wave with the same frequency as the received sound back to the officer What frequency would the officer receive?

Explanation / Answer

The frequency shift of the reflected signal recieved by thestationary highway patrol is f ' = (1 - vL/c) * f ==> f ' - f = - fv/c Here, f = 2460 MHz = 2460 *106Hz,v = 37 m/s and v = 3*10^8 m/s. ==> f ' - f =- [(2460 * 106) 37/(3*10^8)]       =- 303.4 Hz Hence the waves are reflecteded, change in frequency f " = 2 (f ' - f )          = 606.8 Hz The frequency shift of the reflected signal recieved by thestationary highway patrol is f ' = (1 - vL/c) * f ==> f ' - f = - fv/c Here, f = 2460 MHz = 2460 *106Hz,v = 37 m/s and v = 3*10^8 m/s. ==> f ' - f =- [(2460 * 106) 37/(3*10^8)]       =- 303.4 Hz Hence the waves are reflecteded, change in frequency f " = 2 (f ' - f )          = 606.8 Hz Here, f = 2460 MHz = 2460 *106Hz,v = 37 m/s and v = 3*10^8 m/s. ==> f ' - f =- [(2460 * 106) 37/(3*10^8)]       =- 303.4 Hz Hence the waves are reflecteded, change in frequency f " = 2 (f ' - f )          = 606.8 Hz

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