问题 问答题

如图所示,实线为一列简谐波在t=0时刻的波形,虚线表示经过△t=0.2s后它的波形图象,已知T<△t<2T(T表示周期),则这列波传播速度的可能值v=______;这列波的频率可能值f=______.

答案

由图线可直接读出波长λ=0.04m.

因为T<△t<2T

所以当波向右传播时,0.2s=

5
4
T,周期T=
4
25
s
,则f=
1
T
=
25
4
=6.25Hz
,v=
λ
T
=
0.04
4
25
=0.25m/s

当波向左传播时,0.2s=

7
4
T,周期T=
4
35
s
,则f=
1
T
=
35
4
=8.75Hz
,v=
λ
T
=
0.04
4
35
=0.35m/s

故答案为:0.25m/s,0.35m/s;6.25Hz,8.75Hz

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