00:01
So we're looking at two different nucleics, a and b, with different half -lives.
00:10
A has half -life of 3 hours, b has half -life of 12 hours.
00:16
Now we're given that both of these nuclides are equal in number at the start, at t equals to 0.
00:24
And then subsequently, you know, we want to find out what is the ratio of the activities.
00:31
Ratio of activity of a over activity of b over time at different times.
00:40
So we know that the activity at any point of time is given as the initial activity, a not, multiplied by half to the power of t over t half.
00:54
So these are the t halves over here.
01:04
And if we were to find out for the first part we need to find actually t equals to zero basically we're looking at a knot right the initial activities for each of them so the initial activity that will be equal to the number of nuclei at the start multiplied by the decay rate now the decay rate is equals to 0 2 over t half so we can get actually the ratio right when we get the ratio we find that the n0 will actually cancel out since we are given that they are equal so a knot for particle a over a not essentially would be just t half for b over t half for a and what we get is actually four right and so the ratio of a activity of a t of b and t equals to zero is four now we can look at the next few time steps the first time that we want to look at is 12 hours...