00:02
So in this question, you have strain, right? it has a linear mass density row equals 0 .25 kg per meter, right? and it's stretched with a tension, t, equals 25 newton, right? so let me just sketch this strain.
00:22
You have one end, okay, so it's a one end, right? suppose this strain is something like this.
00:30
And you have one end which you move, shake it up and down, right? up and down like this.
00:36
And, of course, you send a wave down the string, right? you know, like this.
00:41
Probably you don't have any restraint on this.
00:44
Just hold the one end and just hold the one end, right? wave is same.
00:52
So you have a strain and they hold one end and shake it and sends down a wave, sends down a wave going like this, right? so you ask you to find, of course, the wave speed.
01:03
Well, the wave speed, v, is just given by, you know, square root t over row, okay? the tension divided by the linear mass density and take the square root, that's the speed.
01:19
So plugging this to numbers, you will find the wave speed.
01:22
And the amplitude, the amplitude that we call it a, of course, it's given by the amplitude, point, point, so 0 .1 meter, that's already in the question.
01:35
And your frequency, omega, is also actually in the question.
01:40
That's 5 hertz, right? and the period, the period i call it, let's give it a name.
01:50
I would call it t, okay, a t period.
01:54
Okay, we just call it period, okay? period.
01:59
And of course, it's 2 pi over omega, right? and plugging the numbers, you get the period.
02:04
And how about wavelength? so wavelength, lambda, it costs 2 pi over wavelength of k...