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Resolving Power 1 1 1
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Not resolved Well resolved
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Just resolved
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Chromatic Resolving Power
The ability of the spectroscope or the interferometer to separate the components of multiplets is known as chromatic resolving power (CRP). In a two beam interferometer, like Michelson interferometer and Young’s double slit set-up, the bright fringes are as broad as the dark fringes. The fringes are not sharp. For good resolution, the bright fringes must be as sharp as possible.
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Michelson fringes Fabry-Perot fringes 5
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Fabry-Perot interferometer
Doublet separation in Fabry-Perot interferometer 6
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Resolved wavelengths s: separation w: width 7
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Unresolved wavelengths
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Barely resolved 9
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Chromatic resolving power of Fabry Perot interferometer
- Where, λ is the minimum wavelength interval of a doublet that the instrument is capable of barely resolving. - The criterion for bare resolution is called the Rayleigh criterion. - The smaller the value of λ, the higher is the resolving power of the instrument. Barely resolved Using: 2d cos θm= mλ ; ( Fabry-Perot - bright fringe in transmission ) 10
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Telescope R.P. = 1.22 λ / D D= Diameter of the telescope objective
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Single slit – Two point sources
R.P. = λ / b
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Circular aperture
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Chromatic resolving power of a grating
= m N
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