00:02The question is radium has a half-life of 1600 years. How much of 60 gram radium would
00:11be left after 4800 years? First of all, we will make a data. Half-life of radium is obtained
00:37as 1600 years. Mass of radium sample is obtained as 60 gram.
01:05Total period is obtained as 4800 years. We have to find mass of radium left.
01:37For solution, first of all, we will find number of half-lives in the given period is number
01:51of half-lives in the given period will be calculated by using formula total period divided by half-life.
02:16So, number of half-lives in the given period will be obtained as total period is obtained as 4800 years
02:32divided by half-life which is 1600 years.
02:37So, after simplification we will get 3 half-lives means number of half-lives is obtained as 3. Now,
02:53we will calculate mass of radium sample left is mass of radium sample left.
03:15mass of radium left is calculated by using formula. Mass of radioactive sample means mass of radium
03:31is 60 gram divided by half-lives in the given period. So, mass of radium sample will be as mass
03:53of radium is 60 gram divided by 2
03:58So, mass of radium number of half-lives in the given period which is 3. So, 2 power 3. So,
04:0660 upon is 2 power 3 will be equal to 8. So, mass of radium sample is equal to 8.
04:27mass of radium sample Opp stamped. So, our flat-lives is equal to No, So, try to find mass of
04:37radium sample as 6. So,
04:40grown.
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