A microscope is focused on the upper surface of a glassplate. A second plate is then placed over the first. In order to focus on the bottom surface of the second plate,the microscope must be raised another 1mm. In order to focus on the upper surface,it must be raised another 2mm. Find the index of refraction of the second plate.
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The expression for microscope when it just looks at an image or an object the following refined lens formula is used,
Here is the refractive index of the second plate, is the refractive index of air, is the distance of image below top surface and is the total distance between microscope and upper surface.
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