$\"\"$

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a.

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Find $\"\"$ for each material shown if the angle of incidence is $\"\"$ and the index of refraction for air is $\"\"$ .

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Refraction is described by $\"\"$ .

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Find $\"\"$ for glass :

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Consider $\"\"$ .

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Substitue the values of $\"\"$ , $\"\"$ , and $\"\"$ in above equation.

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$\"\"$

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Find $\"\"$ for Ice :

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Consider $\"\"$ .

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Substitue the values of $\"\"$ , $\"\"$ , and $\"\"$ in above equation.

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$\"\"$

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Find $\"\"$ for Plastic :

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Consider $\"\"$ .

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Substitue the values of $\"\"$ , $\"\"$ , and $\"\"$ in above equation.

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$\"\"$

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Find $\"\"$ for Water :

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Consider $\"\"$ .

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Substitue the values of $\"\"$ , $\"\"$ , and $\"\"$ in above equation.

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$\"\"$

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$\"\"$

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b.

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Find the angle of refraction for one of the mediums using an angle of incidence of $\"\"$ .

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Find $\"\"$ for glass :

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Consider $\"\"$ .

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Substitue the values of $\"\"$ , $\"\"$ , and $\"\"$ in above equation.

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$\"\"$

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If $\"\"$ , then $\"\"$ .

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If $\"\"$ , then $\"\"$ .

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Therefore, the angle of refraction is not twice as large.

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$\"\"$

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a.

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$\"\"$ for glass is $\"\"$ .

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$\"\"$ for Ice is $\"\"$ .

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$\"\"$ for plastic is $\"\"$ .

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$\"\"$ for water is $\"\"$ .

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b. The angle of refraction is not twice as large.