Question

You're caught running a red light on Hwy 316. Attempting to impress the skeptical patrol officer with your physics knowledge, you claim that you were traveling so fast that the red light (624 nm) appeared yellow (580 nm) to you. How fast would you have been traveling (in mi/hr) if that had been the case

Answer 1

you travel at 1.19 ×
`10^(8)` miles/hour

Step-by-step explanation:

given data

running a red light v = 316

red light λ = 624 nm

yellow light λ = 580 nm

to find out

How fast you travel ( V)

solution

we know here red light and yellow frequency that is

frequency fr= v / λ = 316 / 624 nm = 4.4 ×
`10^(14)` Hz

frequency for yellow fy = 5.18 ×
`10^(14)` Hz

so frequency formula is

fr = fy ( s + V ) / s

here s speed of light = 3 ×
`10^(8)`

put here value

4.4 ×
`10^(14)` = 5.18 ×
`10^(14)` ( 3 ×
`10^(8)` + V ) / 3 ×
`10^(8)`

V = 5.32 ×
`10^(7)` m/s

so

you travel at 1.19 ×
`10^(8)` miles/hour