题目内容
如图所示,真空中有一横截面为扇形的玻璃砖,折射率为
。现有一细光束以45º的入射角射到
边,经玻璃砖折射、反射后,经
面平行返回,已知
,扇形区的半径为
,则出射点
离圆心
的距离为( )
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241241470762085.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824124146343326.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824124146374366.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824124146406391.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824124146437666.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824124146858268.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824124146874278.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824124147061298.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241241470762085.png)
A.![]() | B.![]() | C.![]() | D.![]() |
C
在出射点D处,令出射时的折射角为r,入射角为i,在C点反射角和入射角相等,设为
。 由几何关系知r = 45°,则
,有i =30°。即有2
+30°=45°,故
=7.5°,PO = r·sin7.5°。选C
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824124147326297.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824124147342746.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824124147326297.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824124147326297.png)
![](http://thumb.zyjl.cn/images/loading.gif)
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