Answer:
[tex]2.8\times 10^3 Hz[/tex]
Explanation:
We are given that
Frequency,f=[tex]10.525GHz=10.525\times 10^9 Hz[/tex]
Speed,v=40.2 m/s
We have to find the increase in frequency.
We know that
Speed of light,c=[tex]3\times 10^8m/s[/tex]
[tex]\Delta f=f\times \frac{v}{c}[/tex]
[tex]\Delta f=10.525\times 10^9\times \frac{40.2}{3\times 10^8}[/tex]
[tex]\Delta f=1.4\times 10^3Hz[/tex]
The waves are reflected therefore the change in frequency at the gun is equal to twice the change in frequency.
Therefore, increase in frequency=[tex]2\Delta f=2\times 1.4\times 10^3=2.8\times 10^3 Hz[/tex]
