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Resolving Power. Will rate !!

A 1.0-cm-diameter microscope objective has a focal length of 2.8mm . It is used in visible light with a wavelength of 550nm.
What is the objective's resolving power if used in air?___nm
What is the resolving power of the objective if it is used in an oil-immersion microscope
with noil= 1.45?___nm
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Answer #1
Resolving power = 0.5x wavelength/ numerical aperture (n sin theta)
n sin theta in most microscope have value = 1.2 and 1.4
therefore:
R. P. = 0.5x500nm/ 1.25 = 200nm = 0.2 microns.
(conv. 1000nm = 1micron).

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Answer #2

PREPARE:

Given two stars have an angular separation of. We have to calculate the diameter of telescope objective when used with light of wavelength

SOLVE:

The angular resolution of the telescope is

ASSESS:

Thus the diameter of the telescope objective is

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