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Police radar guns measure the speed of moving vehicles by transmitting electromagnetic waves at a vehicle and detecting a Doppler shift in the reflected wave. Suppose a police radar transmits at a frequency of 25 GHz and receives a wave reflected from a car moving toward the radar at 50 m/s. Find the frequency shift observed by the radar gun after it is reflected off of the approaching car.

Respuesta :

Answer:

8333.33 Hz.

Explanation:

f = Transmitted frequency = 25 GHz = 25×10⁹ Hz

v = Velocity of car = 50 m/s

c = Speed of light = 3×10⁸ m/s

Frequency shift

[tex]\Delta f=\frac{2fv}{c}\\\Rightarrow \Delta f=\frac{2\times 25\times 10^9\times 50}{3\times 10^8}\\\Rightarrow \Delta f=8333.33\ Hz[/tex]

∴ Frequency shift or beat frequency observed is 8333.33 Hz.

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