Chapter 23. Brewster’s angle for polarization by reflection (23-14)

Question

9zeNiLJ8jfqTdWKgmHxJqQkLAsdFLeFczb5lfXF+UFRXOVq06aYdiiorQOkBlfThBKc7OTkvBgM5lKyhknpOcUU+qZp+Ks3OYyckIBp7/I2/9glJQlJZ9g==
{"title":"Brewster’s angle for light in medium 1 that encounters a boundary with medium 2","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"4,46,31,86\"}]"} {"title":"Index of refraction of medium 2","description":"Incorrect","type":"incorrect","color":"#008000","code":"[{\"shape\":\"rect\",\"coords\":\"236,17,261,43\"}]"} {"title":"Index of refraction of medium 1","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"232,74,265,101\"}]"}

Question

7fEYLnTXYIdx1jX92tJKxkK4MRPpd+p5Qv8fD9To1bS8Nd9g
{"title":"Brewster’s angle for light in medium 1 that encounters a boundary with medium 2","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"4,46,31,86\"}]"} {"title":"Index of refraction of medium 2","description":"Correct!","type":"correct","color":"#008000","code":"[{\"shape\":\"rect\",\"coords\":\"236,17,261,43\"}]"} {"title":"Index of refraction of medium 1","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"232,74,265,101\"}]"}

Question

Gv6scJsrnRWjdSAwCrM+PpiDYxZ/rICGT8u+7dL5vHGRtr76
{"title":"Brewster’s angle for light in medium 1 that encounters a boundary with medium 2","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"4,46,31,86\"}]"} {"title":"Index of refraction of medium 2","description":"Incorrect","type":"incorrect","color":"#008000","code":"[{\"shape\":\"rect\",\"coords\":\"236,17,261,43\"}]"} {"title":"Index of refraction of medium 1","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"232,74,265,101\"}]"}

Review

The sine of an angle divided by its cosine equals the tangent of the angle. So \(\tan{\theta_{\mathrm{B}}} = n_2/n_1\), or

If the angle of incidence for unpolarized light is something other than \(\theta_{\mathrm{B}}\), the reflected ray is partly polarized. If unpolarized light strikes the boundary perpendicular to it, so \(\theta_1 = 0\), there is no change in polarization of the reflected light.