题目内容
将直角坐标系和等腰直角棱镜ABO如图所示放置,腰长为16 cm.为了测棱镜的折射率,从OB边D点注视A棱,分别在D、E点插两枚大头针,且A点的像在DE的直线上,取走棱镜延长DE交x轴于C点,若D、C两点的位置坐标分别为(0,12)和(9,0),由此可求棱镜的折射率为________.![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250036508022735.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250036508022735.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003650818373.png)
由题意作出其光路图如图所示.由图可知sin i=
=
=0.8 ,sin r=
=
=0.6
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250036509113031.jpg)
故棱镜的折射率n=
=
=
.
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003650833526.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003650865674.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003650880503.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003650896682.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250036509113031.jpg)
故棱镜的折射率n=
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003650927541.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003650943502.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003650818373.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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