Question

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

The object in part B is moved sinusoidally according to s = Asin(ωt), where A is the amplitude and ω is the angular frequency. The frequency of the motion is 1.00 Hz. What is the velocity of the image when the object is at its midpoint and traveling upward? Express your answer with the appropriate units. Enter positive value if the deflection is upward and negative value if the deflection is downward.

( Part B question was

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 cmcm above the top of the cylinder to 1.00 mm above the top of the cylinder during this motion, what is the corresponding range of motion for the object distance ss? Find the minimum value of ss.

Express your answer with the appropriate units.)

Answer 1