题目内容
(9分)如图所示,有一截面是直角三角形的棱镜ABC,∠A= 30°.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MN.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.
①红光和紫光在棱镜中的传播速度比为多少?
②若两种光都能从AC面射出,求在光屏MN上两光点间的距离.
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250040140713687.png)
①红光和紫光在棱镜中的传播速度比为多少?
②若两种光都能从AC面射出,求在光屏MN上两光点间的距离.
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250040140713687.png)
①n2:n1;②。
试题分析:由于v红=
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825004014086411.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825004014102434.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825004014117775.png)
又由于n1=
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825004014133643.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825004014149684.png)
故x=d(tanr2-tanr1)=d(
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825004014164809.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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