Solved: Figure 2367 shows a liquid-detecting prism device

Chapter 23, Problem 23.86

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Figure 2367 shows a liquid-detecting prism device that might be used inside a washing machine. If no liquid covers the prisms hypotenuse, total internal reflection of the beam from the light source produces a large signal in the light sensor. If liquid covers the hypotenuse, some light escapes from the prism into the liquid and the light sensors signal decreases. Thus a large signal from the light sensor indicates the absence of liquid in the reservoir. Determine the allowable range for the prisms index of refraction n.

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