题目内容
如图,一列沿
轴正方向传播的简谐横波,振幅为
,波速为
,在波的传播方向上两质点
的平衡位置相距
(小于一个波长),当质点
在波峰位置时,质点
在
轴下方与
轴相距
的位置,则( )
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/2014082418025326622432.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180249975266.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180250287455.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180250568498.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180251067396.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180251348468.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180251582283.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180251894299.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180249975266.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180249975266.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180252767408.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/2014082418025326622432.png)
A.此波的周期可能为![]() |
B.此波的周期可能为![]() |
C.从此时刻起经过![]() ![]() |
D.从此时刻起经过![]() ![]() |
ACD
试题分析:对AB选项,根据题意,有两种情况:
第1种情况:波的图象如图所示,从图象得,
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180255154917.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180255372570.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180255653519.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180255887924.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241802562304150.jpg)
第2种情况如图所示:
波的图象如图,从图象得,
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241802562621198.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824180255653519.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241802567611106.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241802570573609.jpg)
对CD选项,根据以上两种情况,也有两种对应的情况:
第1种情况:波长是1.2m 的波,在 波的图象如下图,从图象知,b在波谷,所以C正确.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241802570885091.jpg)
第2种情况,波长是0.6m 的波,波的图象如下图,从图象知,b在波峰,所以D正确.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241802571203355.jpg)
故选ACD.
点评:本题考查波的多解性,此类题目要注意全面考虑,找出所有的可能情况;本题采用了图象法进行分析,要注意学会用波动图象来进行分析判断.同时还要注意b在下方1cm的意思要弄明白.
![](http://thumb2018.1010pic.com/images/loading.gif)
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