00:01
In this problem we have a radioactive nucleus and that radioactive nucleus is having a half -life of two minutes and the initial count rate of this radioactive nucleus is observed to be 3 ,000 counts per second.
00:18
So let's represent the initial count rate using n -0 and we have an expression to get the count rate after n half -lives.
00:26
So n here is representing the count rate after n half -lives.
00:31
So here we need to determine the count rate after a time interval of two minutes.
00:38
So here we observe that two minutes, it includes one half life.
00:43
So in that case, the count rate will be n -not over 2 raise to 1.
00:47
So that comes out to be 1 ,500 counts per second.
00:51
And now we have to determine the count rate after a time interval of 6 minutes.
00:56
So here the 6 minute, it includes 3 half -lives.
00:59
So we're going to take this value of n as 3, and the count rate will be n -not over 2 -rays to 3...