You get pulled over for running a red light. You explain to the police officer that the light appeared green to you due to the D

Question

3 years ago

12

You get pulled over for running a red light. You explain to the police officer that the light appeared green to you due to the D

oppler effect. The police officer writes you a ticket for speeding instead. The fine is $100 for every 10km/hr over the speed limit of 60km/hr you were traveling. How much is the speeding ticket?

Physics

2 answers:

Ludmilka [50] · Answer 1 · 2022-02-25T10:46:43+03:00

Answer:

$ 3085713685.71

Explanation:

$\lambda_0$ = Actual wavelength = 700 nm

$\lambda$ = Changed wavelength = 500 nm

Let the wavelength of red color be 700 nm and green be 500 nm

Change in wavelength is

$\Delta \lambda=700-500\\\Rightarrow \theta\lambda=200\ nm$

We have the relation

$\dfrac{\Delta\lambda}{\lambda_0}=\dfrac{v}{c}\\\Rightarrow v=\dfrac{\Delta\lambda}{\lambda_0}c\\\Rightarrow v=\dfrac{200}{700}\times 3\times 10^8\\\Rightarrow v=85714285.7143\ m/s$