题目内容
如图,有一截面是直角三角形的棱镜ABC,∠A=30º.它对红光的折射率为n1.对紫光的折射率为n2.在距AC边d处有一与AC平行的光屏。现有由以上两种色光组成的很细的光束垂直AB边射入棱镜.v1、v2分别为红光、紫光在棱镜中的传播速度,则
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241355182181758.png)
—![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824135518858838.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241355182181758.png)
A.v1:v2= n2:n1 |
B.两种光一定在AC面发生全反射,不能从AC面射出 |
C.若两种光都能从AC面射出,在光屏MN上两光点间的距离为![]() ![]() |
D.若两种光都能从AC面射出,在光屏MN上两光点间的距离为 |
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824135518561831.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824135518858838.png)
AC
v红=C/n1
v紫=C/n2
∴v红/ v紫=n2/n1
C>30º sinC=
∴n1<2
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824135519170826.png)
Δx=d(tanr2-tanr1)=d![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241355192171104.png)
AC对;
v紫=C/n2
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241355189053555.png)
∴v红/ v紫=n2/n1
C>30º sinC=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824135519092558.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824135519123791.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824135519170826.png)
Δx=d(tanr2-tanr1)=d
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241355192171104.png)
AC对;
![](http://thumb.zyjl.cn/images/loading.gif)
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