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Problem 53 Hard Difficulty

A piece of wire is bent through an angle $\theta .$ The bent wire is partially submerged in benzene (index of refraction =1.50 ) so that, to a person looking along the dry part, the wire appears to be straight and makes an angle of $30.0^{\circ}$ with the horizontal. Determine the value of $\theta .$

Answer

$\text { The bend angle is } \theta=24.74^{\circ}$

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Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

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University of Washington

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Video Transcript

we have following suppression life strikes here, making an angle for 60 degrees, which we call it a data. That too, and to go straight. But it doesn't go straight. It bends towards normal. So is making an angle off. That one were recalled. This whole angle from here to normal is better. We would also find it data. Oh, so this from so that their days from here to here, so that there were last different better. What is a meta from you? We can use that we can find better Using Snell's law, that is, in one time scientist I want is 1/4 in two. I'm sign that the two from here and one is 1.5 scientific one physical, two and two is one sign 60 scientist. The one would be here signed in Warsaw office signed 60 derided by 1.5. This gives a state of one over 35 feet to six degrees. We can then find better that I will be simply for 60 minus 35 more minutes to six degrees which is equal to 24 point 74 degrees. So, Arthur to the bend angle the bending girl. We have east 24 points seventies. So this is the Mandingo

Wesleyan University
Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

Marshall S.

University of Washington

Farnaz M.

Other Schools

Zachary M.

Hope College