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13 April, 09:36

How fast and in what direction must galaxy A be moving 17 an absorption Line found at 500 nm for a stationary galaxy 1s shifted to 400 nm for A? (b) How fast and in what direction is galaxy B moving if it shows the same line shifted to 550 nm?

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  1. 13 April, 10:02
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    v = 0.22 c and wavelength is decrease so galaxy A is move away from stationary galaxy

    v = 0.095 c and wavelength is increase so galaxy B come toward stationary galaxy

    Explanation:

    Given data

    found = 500 nm

    shifted A = 400 nm

    shifted B = 550 nm

    to find out

    How fast and in what direction is galaxy

    solution

    we use here formula that is

    (λ) shifted = √ (1-β / 1+β) (λ) found

    1-β / 1+β = (4/5) ² ... 1

    1-β / 1+β = 16 / 25

    β = 0.22

    v/c = 0.22

    v = 0.22 c

    here wavelength is decrease so galaxy A is move away from stationary galaxy

    and

    here according to equation 1

    and we use shifted 550 nm

    so

    1-β / 1+β = (5.5/5) ²

    1-β / 1+β = 30.25 / 25

    β = 0.095

    so v/c = 0.095

    v = 0.095 c

    here wavelength is increase so galaxy B come toward stationary galaxy
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