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surface of a plano-convex glass lens is placed on an optically flat glass plate.

ID: 2301475 • Letter: S

Question

surface of a plano-convex glass lens is placed on an optically flat glass plate. The radius of curvature x surface is 40 cm. The plane surface of the lens is illuminated at normal incidence with monochromatic lion's rings are observed by reflection. Do not consider the center spot as a ring. In Situation 35.4, the light has a wavelength of 720 nm. The radius of the third bright ring/ in mm, is A camera set with f-number I has a total length of 50mm. What is the minimum spacing of two objects positioned 12 meters from the lens it the objects are barely resolved in the image? Assume the light wavelength is 500 nm.

Explanation / Answer

f-number= f/4 ==> the aperture size D= f/4= 12.5 mm.

angular resoution= 1.22 * lambda/D

spatial resolution= angular resoution * object distance = 1.22 * lambda/D *d

==> spatial res.= 1.22 * 500 *10^-9 *12/(12.5*10^(-3))= 585.6 * 10^-6 m ~~ 0.58 mm