High School

The state highway patrol radar guns use a frequency of 9.50 GHz. If you're approaching a speed trap driving at 37.9 m/s, what frequency shift will your FuzzFoiler 2000 radar detector detect?

Answer :

Final answer:

The frequency shift experienced by the FuzzFoiler 2000 radar detector can be calculated using the formula (velocity of the detector / speed of light) x original frequency. Plugging in the given values, the frequency shift is approximately 1.262 x 10^-4 GHz.

Explanation:

The frequency shift experienced by the FuzzFoiler 2000 radar detector can be calculated using the formula:

frequency shift = (velocity of the detector / speed of light) x original frequency

Given that the radar gun uses a frequency of 9.50 GHz and the detector is approaching at a speed of 37.9 m/s, we can plug in these values into the formula to calculate the frequency shift:

frequency shift = (37.9 m/s / 3 x 10^8 m/s) x 9.50 GHz

Simplifying the expression, we get:

frequency shift ≈ 1.262 x 10^-4 GHz

Therefore, the FuzzFoiler 2000 radar detector will see a frequency shift of approximately 1.262 x 10^-4 GHz.