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# A narrow beam of light from a laser travels through air (n=1.00) and strikes point A on the surface of the water (n=1.33) in a lake. The angle of incidence is $55^{\circ}$. The depth of the lake is 3.0 m. On the flat lake-bottom is point B, directly below point A. (a) If refraction did not occur, how far away from point B would the laser beam strike the lake-bottom? (b) Considering refraction, how far away from point B would the laser beam strike the lake-bottom?

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Given The index of refraction of air is $n_1=1$. The index of refraction of water is $n_2=1.33$. The angle of incidence is $\theta_1=55\degree$. The depth of the lake is $d=3\ \text{m}$.

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