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In: Physics

A transparent cylindrical tube with radius r = 1.50 cm has a flat circular bottom and...

A transparent cylindrical tube with radius r = 1.50 cm has a flat circular bottom and a top that is convex as seen from above, with radius of curvature of magnitude 2.60 cm. The cylinder is filled with quinoline, a colorless highly refractive liquid with index of refraction n = 1.627. Near the bottom of the tube, immersed in the liquid, is a luminescent LED display mounted on a platform whose height may be varied. The display is the letter A inside a circle that has a diameter of 1.05 cm. A real image of this display is formed at a height s′ above the top of the tube, as shown in

What is the minimum tube height H for which this display apparatus can function? Express your answer with the appropriate units.

The luminescent object is moved up and down periodically so that the real image moves up and down in the air above the tube. A mist in the air renders this display visible and dramatic. If we want the image to move from 60.0 cm above the top of the cylinder to 1.00 m above the top of the cylinder during this motion, what is the corresponding range of motion for the object distance s? Find the minimum value of s. Express your answer with the appropriate units.

Find the maximum value of s. Express your answer with the appropriate units.

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