题目内容
如图,简谐横波在t时刻的波形如实线所示,经过Δt=3s,其波形如虚线所示。己知图中x1与x2相距1m,波的周期为T,且2T<Δt<4T 。则可能的最小波速为____________m/s,最小周期为____________s。![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241346448843297.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241346448843297.png)
5,7/9,
从图中可知波长
,波可能向右传播也可能向左传播,由于2T<Δt<4T,若向右传播,传播的距离为
或
;若向左传播,传播的距离为
或
,根据
知传播距离最短的波速最小,这时最小波速为:
。
根据
可知波速度最大时周期最小,而最大波速度
,此时对应的最小周期T=![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134645773755.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134644977525.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134645258761.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134645321780.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134645414835.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134645461852.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134645492454.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134645523756.png)
根据
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134645617519.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241346456951078.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134645773755.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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