00:01
Hello everyone, in the present problem, incident wave on string is shown and part of the wave is transmitted.
00:08
Z2 tends to infinity.
00:10
We have to find ratio of b1 divided by a1.
00:15
Coming to the solution, let the wave yi is equal to ai sine omega t minus k1x.
00:37
Be incident on a medium boundary at x equal to 0.
00:58
Now the reflected wave travels in the incident medium in the opposite direction.
01:47
The transmitted wave travels in the second medium.
02:12
The reflected wave may have equation yr is equal to ar sign omega t plus k1 x.
02:47
The transmitted wave may have equation yt is equal to a .t.
03:12
Sine omega t minus k to x conditions to find out a relationship between the amplitudes are, first one, y -i is equal to y -r is equal to y -t because the wave propagation is continuous at the boundary.
04:47
Second, d .y .i.
04:52
Divided by dx plus d .y .r.
04:58
Divided by tx is equal to d .yt divided by tx.
05:11
Because the wave shape is differential at the boundary...