00:01
In this problem, we are given the decay constant of a radioactive material, and we will compute the half -lifetime of this material in proper units.
00:13
There is a formula for that, a nice formula, but the user requires an explanation.
00:20
So let us take a step back and see what is going on.
00:26
Suppose we have this initial amount of material at the beginning, and in time, it will be reduced as a function of time, like this, and it will follow an exponential decay.
00:41
So here, lambda is the decay constant.
00:52
Now we want n of t, let's say, one -half at this half -time.
01:00
We will get n zero over two, and we want actually the value of this time value.
01:07
So we know that at t equal to t one -half, we will get n equal to n zero over two, and we are going to solve this equation for t one -half in terms of lambda and some other numerical values...