2. Suppose a light source emits at wavelength X'. Then per Eq. (4.4) of lecture notes # X (1) (a) If v=0.8c and X =500 nm, what is A? (b) In the limit as v→ c what happens to the observed X? (c) Show that for the source moving away from the observer with vc the observed wavelength is λ = X(1 + v/c). Note that this simple relation implies that a redshift (A > X') or a blueshift (A < X') of standard line emissions readily determines the relative velocity of distant objects.
2. Suppose a light source emits at wavelength X'. Then per Eq. (4.4) of lecture notes # X (1) (a) If v=0.8c and X =500 nm, what is A? (b) In the limit as v→ c what happens to the observed X? (c) Show that for the source moving away from the observer with vc the observed wavelength is λ = X(1 + v/c). Note that this simple relation implies that a redshift (A > X') or a blueshift (A < X') of standard line emissions readily determines the relative velocity of distant objects.
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Transcribed Image Text:2. Suppose a light source emits at wavelength X. Then per Eq. (4.4) of
lecture notes
X =
Ca
(a) If v = 0.8c and X =500 nm, what is ?
(b) In the limit as v→ c what happens to the observed λ?
(1)
(c) Show that for the source moving away from the observer with
vc the observed wavelength is λ = X(1 + v/c).
C
Note that this simple relation implies that a redshift (X > X') or
a blueshift (A < X') of standard line emissions readily determines
the relative velocity of distant objects.
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