If you detected radio signals with an average wavelength of 67 cm and suspected that they came from a civilization on a distant Earth-like e

Question

If you detected radio signals with an average wavelength of 67 cm and suspected that they came from a civilization on a distant Earth-like exoplanet, roughly how much of a change in wavelength (in cm) should you expect to detect as a result of the orbital motion of the distant exoplanet?

in progress 0
Edana Edana 4 years 2021-08-05T20:02:32+00:00 1 Answers 21 views 0

Answers ( )

  1. danthu
    0
    2021-08-05T20:03:35+00:00
    Reply

    Answer:

    0.0066553 cm

    Explanation:

    v = Earth’s average orbital velocity = 29.8 km/s

    c = Speed of light = 3\times 10^8\ m/s

    \lambda = Wavelength = 67 cm

    \Delta\lambda = Change in wavelength

    The Doppler shift is given by

    \dfrac{v}{c}=\dfrac{\Delta \lambda}{\lambda_0}\\\Rightarrow \Delta \lambda=\dfrac{v\lambda_0}{c}\\\Rightarrow \Delta \lambda=\dfrac{29800\times 0.67}{3\times 10^8}\\\Rightarrow \Delta\lambda=0.000066553\ m=0.0066553\ cm

    The change in wavelength is 0.0066553 cm

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )