题目内容
如图所示为一半圆形玻璃砖,光屏MN与直径PQ平行,圆心O到MN的距离为d,一由两种单色光组成的复色光与竖直方向成θ=30°角射入玻璃砖的圆心,在光屏上出现了两个光斑,玻璃对两种单色光的折射率分别为n1=
和n2=
,求:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408242342508334382.png)
①离A点最远的光斑与A点之间的距离x;
②为使光屏上的光斑消失,复色光的入射角至少为多少?
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824234248961344.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824234249865344.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408242342508334382.png)
①离A点最远的光斑与A点之间的距离x;
②为使光屏上的光斑消失,复色光的入射角至少为多少?
①
d,②C=45°
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824234249865344.png)
试题分析:经分析可知2光折射后光斑离A点远
①由
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824234253578743.png)
x=
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824234254920531.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824234249865344.png)
②由题意分析可知,当1光光斑消失后,2光光斑也消失,
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824234253578743.png)
由
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824234258165639.png)
得C=45° (1分)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408242342590545214.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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