1gram of redioactive material having a half life of 2years is kept in a store, calculate how much of the material will remain unchage?
ummm, how long is it kept there?
every 2 years it decreases by 1/2.
amount remaining=original(1/2)^(time/2years)
To calculate how much of the radioactive material will remain unchanged after a given time, we can use the half-life formula:
Amount remaining = Initial amount * (1/2)^(time elapsed / half-life)
In this case, the initial amount is 1 gram, the half-life is 2 years, and the time elapsed is not provided. So, let's say we want to calculate the amount remaining after a certain number of years, t.
Amount remaining = 1 gram * (1/2)^(t / 2)
For example, if you want to calculate the amount remaining after 6 years:
Amount remaining = 1 gram * (1/2)^(6 / 2)
Amount remaining = 1 gram * (1/2)^3
Amount remaining = 1 gram * (1/8)
Amount remaining = 1/8 gram
So, after 6 years, 1/8 gram (0.125 grams) of the radioactive material will remain unchanged.