题目内容
如图所示为一列简谐横波在两个不同时刻的波形,虚线为实线所示的横波在
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241342526313920.jpg)
△T = 0.5s后的波形图线。
(1)若质点的振动周期T与△T的关系为△T < T,
波速可能为多少?
(2)若波速为v = 2.04m/s,则波向哪个方向传播?
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241342526313920.jpg)
△T = 0.5s后的波形图线。
(1)若质点的振动周期T与△T的关系为△T < T,
波速可能为多少?
(2)若波速为v = 2.04m/s,则波向哪个方向传播?
(1)若波向右传播,![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824134252771725.png)
若波向左传播,![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824134252974706.png)
(2)波向x轴负方向传播
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824134252771725.png)
若波向左传播,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824134252974706.png)
(2)波向x轴负方向传播
(1)由图知
,若波向右传播,得
解得![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241342531301034.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241342531771316.png)
若波向左传播,得
解得![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824134253286827.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241342533331177.png)
(2)若波向右传播,得
解得![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241342534261194.png)
(n=0、1、2……)
若波向左传播,同理可得
(n=0、1、2……)
K=
,n=4
所以波向x轴负方向传播。
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824134253021751.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824134253099641.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241342531301034.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241342531771316.png)
若波向左传播,得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824134253208614.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824134253286827.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241342533331177.png)
(2)若波向右传播,得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824134253379803.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241342534261194.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408241342536131703.png)
若波向左传播,同理可得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824134253660978.png)
K=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824134253707860.png)
所以波向x轴负方向传播。
![](http://thumb.zyjl.cn/images/loading.gif)
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