1.

The spectral line emitted by a star, known to have a wavelength of 6500 Å, when observed in the laboratory appears to have a wavelength 6525 Å. What is thespped of the star in the line of light relative to the earth fro receding or approaching?

Answer»

`1.154 xx 10^(6) ms^(-1)` receding
`1.154 xx 10^(4) ms^(-1)` approaching
`1.154 xx 10^(3) ms^(-1)` receding
`1.154 xx 10^(2) ms ^(-1)` approaching

Solution :Here `lambda = 6500 Å, lambda. = 6525 Å`
`Delta lambda = lambda - lambda. = 6525 - 6500`
` = 25 Å(+ ve)`
Doppler.s shift `Delta lambda = -(v)/(C) lambda`
`therefore v = -(Delta lambda)/(lambda) c = - (25)/(6500) xx 3 xx 10^(8)`
` = -1.154 xx 10^(6) ms^(-1)`
`-ve` sign indicates that STAR is receding from the earth.


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