题目内容
一列简谐横波在x轴上传播,在t1=0和t2=0.5 s两时刻的波形分别如图中的实线和虚线所示,求:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241410214606030.png)
(1)若周期大于t2-t1,波速多大?
(2)若周期小于t2-t1,则波速又是多少?
(3)若波速为92 m/s,求波的传播方向.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241410214606030.png)
(1)若周期大于t2-t1,波速多大?
(2)若周期小于t2-t1,则波速又是多少?
(3)若波速为92 m/s,求波的传播方向.
(1)若波向右传播,波速为4 m/s;若波向左传播,波速为12 m/s
(2)若波向右传播,波速为(4+16n) m/s(n=1,2,3,…)
若波向左传播,波速为(12+16n) m/s(n=1,2,3,…)
(3)向左传播
(2)若波向右传播,波速为(4+16n) m/s(n=1,2,3,…)
若波向左传播,波速为(12+16n) m/s(n=1,2,3,…)
(3)向左传播
(1)若波向右传播,Δx1=2 m,Δt=t2-t1=0.5 s,则v1=
=4 m/s;
若波向左传播,Δx2=6 m,Δt=t2-t1=0.5 s,则v2=
=12 m/s.
(2)若波向右传播,Δx3=(2+8n)m(n=1,2,3,…),Δt=t2-t1=0.5 s,则v3=
=(4+16n) m/s(n=1,2,3,…);
若波向左传播,Δx4=(6+8n) m(n=1,2,3,…),Δt=t2-t1=0.5 s则v4=
=(12+16n) m/s(n=1,2,3,…).
(3)当波速为92 m/s时,波向前传播的距离为Δx=vt=46 m=
λ,由(2)题答案可知波向左传播.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824141021491542.png)
若波向左传播,Δx2=6 m,Δt=t2-t1=0.5 s,则v2=
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824141021585566.png)
(2)若波向右传播,Δx3=(2+8n)m(n=1,2,3,…),Δt=t2-t1=0.5 s,则v3=
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824141021678570.png)
若波向左传播,Δx4=(6+8n) m(n=1,2,3,…),Δt=t2-t1=0.5 s则v4=
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824141021756559.png)
(3)当波速为92 m/s时,波向前传播的距离为Δx=vt=46 m=
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824141021850581.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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