Question

The state highway patrol radar guns use a frequency of 8.66 GHz. If you're approaching a speed trap driving 35.0 m/s, what frequency shift will your FuzzFoiler 2000 radar detector see

Answer 1

The frequency shift detected is
`\Delta f =1010.3 Hz`

Step-by-step explanation:

From the question we are told that

The normal frequency of the state highway patrol radar guns
`f = 8.66 GHz = 8.66 *10^(9) \ Hz`

The speed of approach is
`v = 35 .0 \ m/s`

Now the frequency measure by the the state highway patrol radar guns as your car approaches is mathematically represented as

`f_n = f (1 + (v)/(c) )`

Where c is the speed of light which a has constant value of

`c = 3.0 *10^(8 ) \ m/s`

Now

`f_n - f = (fv)/(c) )`

=>
`\Delta f = (fv)/(c)`

substituting values

`\Delta f = ( 8.66 *10^(9) * 35)/(3.0 *10^8 )`

`\Delta f =1010.3 Hz`