The star Sirius is moving toward us?
m/s. A line in its spectrum has a frequency o
5.71x1014 Hz when stationary. How much
will the frequency of the line be shifted?
- NCSLv 71 year agoFavorite Answer
For a stationary receiver (observer),
new frequency f = F₀*c/(c + v) ← v -ve if src moving toward rcvr
using c = 299 792 458 m/s,
new f = 5.71e14Hz * 299792458m/s / (299792458m/s - 7600m/s)
new f = 5.7101447571444719199259890571258e+14 Hz
and so the shift is
Δf = f - F₀ = 1.447571444719199259890571257605e+10 Hz ≈ 1.45e10 Hz
Hope this helps!