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A galaxy moves with respect to us so tha...

A galaxy moves with respect to us so that sodium light of 589.0 nm is observed at 589.6 nm. The speed of the galaxy is

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Since `v lambda= c`,
`(triangle v)/(v)= -(triangle lambda)/(lambda)` (for small changes in v and `lambda`).
For `triangle lambda= 589.6-589.0= +0.6nm`
we get [using Eq. (3.9)]
`(triangle v)/(v)= -(triangle lambda)/(lambda)= (-v_("raidial"))/(v)" or, "v_("radial") cong +c ((0.6)/(589.0))`
`= +3.06xx 10^(5)ms^(-1)= 306 km"/"s`
Therefore, the galaxy is moving away from us.
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