题目内容
(1)下列说法中正确的是________.
E.麦克斯韦预言了电磁波的存在,赫兹用实验证实了电磁波的存在
(2)如图所示,MN是一条通过透明球体球心O的直线,在真空中波长为λ0=564 nm的单色细光束AB平行于MN射向球体,B为入射点,若出射光线CD与MN的交点P到球心O的距离是球半径的
倍,且与MN所成的夹角α=30°.求:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250036178243561.jpg)
①透明球体的折射率n;
②此单色光在透明球体中的波长λ.
A.光的偏振现象说明光是纵波 |
B.人耳能听见的声波比超声波更易发生衍射 |
C.光的双缝干涉实验中,若仅将入射光从红光改为紫光,则相邻亮条纹间距一定变大 |
D.光导纤维传播光信号利用了光的全反射原理 |
(2)如图所示,MN是一条通过透明球体球心O的直线,在真空中波长为λ0=564 nm的单色细光束AB平行于MN射向球体,B为入射点,若出射光线CD与MN的交点P到球心O的距离是球半径的
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003617808344.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250036178243561.jpg)
①透明球体的折射率n;
②此单色光在透明球体中的波长λ.
(1)BDE (2)①
②399 nm
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003617808344.png)
(2)①光束如图传播.
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250036178554110.jpg)
在B点光线的入射角、折射角分别设为i、r,由几何关系得,
在△OCP中,有
=
,解得∠OCP=135°
故∠COP=15°
光线从B点射入,由折射定律
n=![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003617980541.png)
光线从C点射出,由折射定律
n=![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003617995976.png)
所以i=45°
又∠BOC=180°-2r=180°-i-∠COP,故r=30°
所以n=
=
.
②因为n=![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003618058452.png)
所以λ=399 nm.
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250036178554110.jpg)
在B点光线的入射角、折射角分别设为i、r,由几何关系得,
在△OCP中,有
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003617886665.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003617902793.png)
故∠COP=15°
光线从B点射入,由折射定律
n=
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003617980541.png)
光线从C点射出,由折射定律
n=
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003617995976.png)
所以i=45°
又∠BOC=180°-2r=180°-i-∠COP,故r=30°
所以n=
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003618011740.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003617808344.png)
②因为n=
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825003618058452.png)
所以λ=399 nm.
![](http://thumb2018.1010pic.com/images/loading.gif)
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