Question

A tall cup is partially filled with water (n=1.33) to a height of 7.8cm of water. The diameter of the cup is 14.64cm. A student look downward just over the left rim of the cup at an angle of 40.47 degrees with the water surface (theta). At this angle the refractive of light at the water's surface barely allows her to see the bottom right corner of the cup. Determine the height of the cup in centimetres

Answer 1

Explanation:

A tall cup of diameter D is partially filled with a liquid with the refraction index n to a height of H_water. A student looks downward just over the left rim of the cup at an angle theta with the water's surface. At this angle, the refraction of light at the water's surface just barely allows her to see the bottom-right corner of the cup. A sketch of the path of light is shown at the right. Derive the formula for the height of the cup H_cup. Calculate its numerical value for n = 1.33 (water), D = 14.64 cm, H_water = 7.8 cm, theta = 40.47 degree.

Answer 2

Answer:

15.65

Explanation:

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