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A microscope is focused on a stain on in...

A microscope is focused on a stain on inner bottom of an empty trough. The microscope is leveled and moved 1.4 cm away from the surface. To what height a transparent liquid of refractive index 1.4 should be filled in the trough to focus the stain again.

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To solve the problem, we need to find the height of the transparent liquid that should be filled in the trough so that the stain can be focused again after moving the microscope 1.4 cm away from the surface. ### Step-by-Step Solution: 1. **Understanding the Problem**: - The microscope is initially focused on a stain at the bottom of an empty trough. - The microscope is then moved 1.4 cm away from the surface of the trough. - We need to determine how high the transparent liquid (with a refractive index of 1.4) should be filled in the trough to refocus on the stain. ...
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