The half life period of radium is 1600 years.In how many years 1 gram of radium lose 1 centigram??
To determine how many years it takes for 1 gram of radium to lose 1 centigram, we need to calculate how many half-life periods are needed. Here's how you can do it:
1. Start with 1 gram of radium.
2. The half-life period of radium is 1600 years. This means that after 1600 years, half of the radium will have decayed.
3. After the first half-life period (1600 years), we will have 0.5 grams of radium remaining.
4. To determine the time it takes for 1 gram of radium to decay to 0.5 grams, we subtract 0.5 grams from 1 gram, which gives us 0.5 grams.
5. Now we need to continue halving the radium until we reach 0.01 grams (1 centigram), which is a total of 4 halving steps.
6. Since each half-life period is 1600 years, we multiply 1600 years by 4 to get 6400 years.
7. Therefore, it will take 6400 years for 1 gram of radium to lose 1 centigram.
Answer: After 6400 years, 1 gram of radium will have lost 1 centigram.