题目

如图为一列沿x轴传播的简谐横波在t1=0(图中实线所示)以及在t2=0.02s(虚线所示)两个时刻的波形图象.                                                                                                                                      (1)若t2﹣t1<(T为该波的周期)求波的传播方向、传播速度和波的周期,并画出这列波在0.2s时刻的波形图;                                                                                                                                     (2)若t2﹣t1>,求这列波的波速.                                                                                                                                                                                                                                                                                答案:(1)由于当t2﹣t1<T时,波沿x轴正向传播,波传播的距离为△x=2m 波速v===100m/s 周期 T==s=0.16s 因为 t=0.2s=T+,则这列波在0.2s时刻的波形图如下.             (2)若t2﹣t1>,波沿x轴负向传播 传播的距离可能为△x右=(n+1)λ+2m,(n=0,1,2…) 波速 v右==m/s,(n=0,1,2…) 若波向左传,传播的距离可能为△x左=nλ+14m,(n=0,1,2…) 波速 v左==m/s,(n=0,1,2…) 答:(1)若t2﹣t1<(T为该波的周期),波沿x轴正向传播、传播速度是100m/s,波的周期是0.16s,画出这列波在0.2s时刻的波形图如图; (2)若t2﹣t1>,这列波的波速是:m/s,(n=0,1,2…)或m/s,(n=0,1,2…).
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