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When a spectral line of wavelength lambd...

When a spectral line of wavelength `lambda = 0.59 mu m` is observed in the directions to the opposite edges of the solar disc along its equator, there is a difference in wavelengths equal to `delta lambda = 8.0pm`. Find the period of the sun's revolution about its own axis.

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One end of the solar disc is moving towards us while the other end is moving away form us. The angle `theta` between the direction in which the edges of the disc are moving and the line of observation is small `(cos theta~~1)`. Thus
`(Delta lambda)/(lambda) = (2omegaR)/(c)`
where `omega = (2pi)/(T)` is the angualr velocity of the sum. Thus
`omega = (c Delta lambda)/(2R lambda)`
So `T = (4piR lambda)/(c Delta lambda)`
putting the values `(R = 6.95 xx 10^(8) m)`
we get `T = 24.85` days
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