A hydrogen line in a star's spectrum has a frequency of 6.17x10^14 Hz
when stationary. In Rigel's spectrum,
it is shifted downward by 4.26x10^10
Hz. What is Rigel's velocity relative
to us?
PLS HELP!

V = 299,958589.8 m/s

Explanation: To calculate Rigel velocity relative to us, we should use doppler effect formula.

Fo = (c + Vo) f/ ( c - Vs)

Fo/f = (c + Vo) / ( c - Vs)

If Vo = Vs = V approximately

4.26 × 10^10 = (3×10^8 + V) 6.17×10^14/(3×10^8 - V)

4.26×10^10/6.17×10^14 = (3×10^8 + V)/(3×10^8 - V)

6.9×10^-5 = (3×10^8 + V)/(3×10^8 - V)

Cross multiply

20713.13 - 6.9×10^-5V = 3×10^8 + V

Collect the like terms

6.9×10^-5V + V = 3×10^8 - 20713.13

1.000069V = 299979286.9

V = 299979286.9/1.000069

V = 299,958589.8 m/s

Therefore, Rigel's velocity relative to us is 299,958589.8 m/s

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,

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