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

Answer:

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

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

        $f_n = f (1 + \frac{v}{c} )$

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

     $c = 3.0 *10^{8 } \ m/s$

  Now

       $f_n - f = \frac{fv}{c} )$

=>    $\Delta f = \frac{fv}{c}$

substituting values

        $\Delta f = \frac{ 8.66 *10^{9} * 35}{3.0 *10^8 }$

        $\Delta f =1010.3 Hz$