Resolving Limit and Resolving Power
Category : JEE Main & Advanced
(1) Microscope : In reference to a microscope, the minimum distance between two lines at which they are just distinct is called Resolving limit (RL) and it?s reciprocal is called Resolving power (RP)
\[R.L.=\frac{\lambda }{2\mu \sin \theta }\] and\[R.P.=\frac{2\mu \sin \theta }{\lambda }\Rightarrow \]\[R.P.\propto \frac{1}{\lambda }\]
\[\lambda =\] Wavelength of light used to illuminate the object,
\[\mu =\] Refractive index of the medium between object and objective,
\[\theta =\] Half angle of the cone of light from the point object, \[\mu \sin \theta \]= Numerical aperture.
(2) Telescope : Smallest angular separations \[(d\theta )\] between two distant objects, whose images are separated in the telescope is called resolving limit. So resolving limit \[d\theta =\frac{1.22\lambda }{a}\]
and resolving power \[(RP)=\frac{1}{d\theta }=\frac{a}{1.22\lambda }\Rightarrow \]\[R.P.\propto \frac{1}{\lambda }\] where a = aperture of objective.
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