p3Solution

# p3Solution - Solutions Physics 458 Problem Set 3 Ungraded...

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Solutions Physics 458- Problem Set 3 Ungraded Problems (5 pts) Chapter 4 Problems: 4.1, 4.4, 4.14, 4.38, 4.77, 4.79 Graded Problems (5 pts) Chapter 4 Problems: 4.11, 4.17, 4.41, 4.46, 4,68

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4.11) From the graph, the equation is t t i i t n n n 1 ] sin[ ] sin[ constant , which is Snell’s law. It looks like n t = 1.33 (water). 4.17)         1 1.33 1.0 ( ) (35 ) 1.33 .57 1.33 (0.57)* 1.33 .866 49.6 water air air air water water air n n Sin n Sin n Sin Sin Rad   
4.41) For small angles i and t , the small angle approximation for sin[] can be used. Snells law is:     n n i t i t i t 1 sin sin     1 1 1 1 sin sin n n r i t i t t i t i t i t i

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4.46) 2 ( ) ( ) ( ) ( ) ( ) [] ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 1 ( ( )) i t i t t i i t i t t i ti Sin Sin Cos Sin Cos r Sin Sin Cos Sin Cos Sin n Sin Cos n Sin         22 2 2 2 2 () 1 ( ) 1 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 1 ( ) 1 ( ) 1 ( ) 1 ( ) 1 ( ) 1 ( ) 1 ( ) 1 i i t t it i t t i i t t i x Sin n n n Sin nx Sin r Sin x n x x n x Sin Cos Sin Cos Sin Cos Sin Cos x n x x n x x n x x n x r x n x x n x x n x  
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p3Solution - Solutions Physics 458 Problem Set 3 Ungraded...

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