You are using a microscope to examine a blood sample. Recall that the sample sho

Question

You are using a microscope to examine a blood sample. Recall that the sample should be placed just outside the focal point of the objective lens of the microscope. (a) If the specimen is being illuminated with light with a wavelength ? and the diameter of the objective equals its focal length, determine the closest distance between two blood cells that can just be resolved. Express your answer as a multiple of ? . (b) Based on your answer to (a), should you use light with a longer wavelength (1 with no units) or shorter wavelength (2 with no units) if you wish to resolve two blood cells that are even closer together?

Explanation / Answer

wavelength of light = diameter of the objective d = f where f = focal length Let the closest distance between two blood cells that can just be resolved be y we know y = 1.22 f / d                   = 1.22 f / f                   = 1.22 (b). from above y i.e., y is directly proportional to to resolve two blood cells that are even closer together you use shorter wavelength

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