Ray Optics: Refraction and Lenses
Refraction and Lenses: Audio Guided Solution
Problem 11:
A tall cup is partially filled with water (n=1.33) to a height of 7.80 cm (Hwater). The diameter (D) of the cup is 14.64 cm. A student looks downward just over the left rim of the cup at an angle of 40.47 degrees with the water's surface (theta). 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 (not drawn to scale) of the path of light is shown at the right. Determine the height of the cup (Hcup) in centimeters.
Audio Guided Solution
Habits of an Effective Problem Solver
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Read the problem carefully and develop a mental picture of the physical situation. If necessary, sketch a simple diagram of the physical situation to help you visualize it.
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Identify the known and unknown quantities and record them in an organized manner. Equate given values to the symbols used to represent the corresponding quantity - e.g., do = 24,8 cm; di = 16.7 cm; f = ???.
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Use physics formulas and conceptual reasoning to plot a strategy for solving for the unknown quantity.
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Identify the appropriate formula(s) to use.
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Perform substitutions and algebraic manipulations in order to solve for the unknown quantity.
Read About It!
Get more information on the topic of Refraction and Lenses at The Physics Classroom Tutorial.
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