1.

The velocity of a moving galaxy is 300 km s^(-1) and the apparent change in wavelength of a spectral line emitted from the galaxy is observed as 0.5 nm. Then, the actual wavelength of the spectral line is

Answer»

`3000 Å`
`5000 Å`
`6000 Å`
`4500 Å`

Solution :Here , `Delta lambda = 0.5 nm= 0.5 XX 10^(-9) m`
`v = 300 kms^(-1) = 300 xx 10^(3) ms^(-1)`
As `(Deltalambda)/(lambda) = (v)/(c) rightarrow = lambda = (Deltalambda c)/(v)`
`therefore lambda = (0.5 xx 10^(-9)m)(3 xx 10^(8) ms^(-1))/(300 xx 10^(3)ms^(-1)) = 5 xx 10^(-7) m`
`= 5000 xx 10^(-10) m = 5000 Å`.


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