The Andromeda galaxy is moving toward us at 3.01x105 m/s. By how much will the frequency of the 6.17x1014 Hz hydrogen?

The Andromeda galaxy is moving toward us

at 3.01x105 m/s. By how much will the

frequency of the 6.17x1014 Hz hydrogen line

be shifted in the galaxy's spectrum

Update:

3.01 × 10^5 and 6.17 × 10^14

1 Answer

Relevance
  • 4 months ago

    The velocity v is positive for motion away from an observer and negative for motion toward

    an observer. In terms of source frequency and observed frequency, this equation can be

    written as

    f(o) = f(s) x √[(1 - v/c)/(1 + v/c)]

    c = velocity of light = 3.00E+05 km/s = 3.00E+08 m/s

    v = velocity of the Andromeda Galaxy = -3.01E+05 m/s (negative for motion toward an observer)

    f(s) = frequency of the source = 6.17E+14 Hz

    f(o) = observed frequency = to be determined

    Δf = change in frequency = to be determined

    f(o) = 6.18E+14 Hz

    Δf = f(o) - f(s)

    Δf = 6.19E+11 Hz

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