00:01
In this question, we look at a max square broadsman distribution of the speed of molecules in audio gases, right? so the distribution is given by this equation, by sort of by this expression.
00:13
What's the most probable speed for a particle? well, the most probable speed for particle, actually it's given by, what you need to do is just to differentiate this expression instead of zero, right? so you differentiate partial f, partial v, and set this into zero.
00:35
And if you do it, you'll find, well, basically we just look at this part because this is a constant, right? so if we differentiate this part, you get two terms.
00:43
So let's do the differentiation, partial over partial v, v squared, e minus m, v squared over kt, right? and this, you get two terms.
00:54
First is 2v minus mv squared over kt.
00:58
And then the second term is v squared, actually the minus sign, because you have mv, m kt, and times two, um, v, right? right.
01:14
And you say, and of course, times e minus mv squared of kt.
01:18
Anyway, you just do the derivatives...