contestada

With what relative speed would you need to be approaching the vehicle at in order for this sticker to appear blue? (Take 660 nm as the red color of the sticker and 470 nm as the blue color it would appear.) Express your answer in km/s.

Respuesta :

onyebuchinnaji

The relative speed you would need to be approaching the vehicle at in order for this sticker to appear blue is 97,800 km/s.

Doppler shift

The relative speed you will need to approach the car to observe blue color is determined by applying relativistic Doppler shift.

c = fλ

where;

  • c is speed of light = 3 x 10⁸ m/s
  • λ is the wavelength

[tex]v = c[\frac{(\lambda_0/\lambda)^2 - 1}{(\lambda_0/\lambda)^2 + 1} ]\\\\v = c[\frac{(660/470)^2 - 1}{(660/470)^2 + 1} ]\\\\v = c[\frac{0.97}{2.97} ]\\\\v = 0.326 c\\\\v = 0.326 \times 3\times 10^8\\\\v = 9.78 \times 10^7 \ m/s\\\\v = 97,800\ km/s[/tex]

Thus, the relative speed you would need to be approaching the vehicle at in order for this sticker to appear blue is 97,800 km/s.

Learn more about Doppler shift here: https://brainly.com/question/4052291

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