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A person looking through a telescope foc...

A person looking through a telescope focuses the lens at a point on the edge of the bottom of an empty cylindrical vessel Next he fills the entire vessel with a liquid of refractive index `mu`, without disturbing the telescope. Now, he observes the midpoint of the bottom of the vessel Determine the radius to depth ratio of the vessel

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To solve the problem, we need to analyze the situation using Snell's law and some geometry. Here's a step-by-step solution: ### Step 1: Understand the Setup A person focuses a telescope on the edge of the bottom of an empty cylindrical vessel. When the vessel is filled with a liquid of refractive index \( \mu \), the person observes the midpoint of the bottom of the vessel. ### Step 2: Define the Geometry Let: - \( r \) = radius of the cylindrical vessel ...
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