1.

With what speed should a galaxy move with respect to us to that the sodium line at `589.0 nm` is observed at `589.6 nm` ?A. 206 km `s^(-1)`B. 306 km `s^(-1)`C. 103 km `s^(-1)`D. 51 km `s^(-1)`

Answer» Correct Answer - B
The relation between v, c and `lambda` are ,`v lambda=c`
For small change in v and `lambda`,
`(triangle v)/(v)=(-triangle lambda)/(lambda)`
As `triangle lambda =589.6-589.0=+0.6 nm`
Therefore, using doppler shift
`(triangle v)/(v)=(-triangle lambda)/(lambda)=(-v_("radial"))/(c)`
or `-v_("radial")~=+c((0.6)/(589.0))=+3.06xx10^(5)ms^(-1)`
` " " =306kms^(- 1)`
Therefore, the galaxy is moving away from us.


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