Question

question

Answer 1

suppose i did two experiments simeltaneously with some decaying radioactive material,

experiment 1:
I dump \(m_1 kg\) decaying material into a container and wait for a week and then dump \(m_2 kg\) into the same container and wait for another week, and I note down the total amount of material remaining at the end of two weeks.

experiment 2:
I dump \(m_1 kg\) decaying material into a container and wait for a week and then dump \(m_2 kg\) into a DIFFERENT container and wait for another week, and I note down the total amount of material(i.e sum of mass in both containers) remaining at the end of two weeks.

will the result of both be equal?

Answer 2

@ganeshie8

Answer 3

Well! In my opinion the total product im both the cases will be identical !!!!

Answer 4

In*

Answer 5

even I feel that the two cases will be identical. (because of principle of superposition)
but need confirmation :)

Answer 6

Okk.
We can do it in this manner
1).. We have mass m1 in container and u observed it for a week then the conc• remaining at that time would be
m1e^-k and if u put m2 at that time u will have its decay also occuring at the same rate that is k...
So finally after two weeks u would be having this m1e^-2k + m2e^-k

Answer 7

And as for the secomd case we would be having furst half of the problem idenrical to the 1st ..Now you have put a mass m2 in another container there also it decays at a rate k , then we would be having at the end of two weeks
Conc from first container =m1e^-2k
Conc from 2nd container=m2e^-k
If we add the two we will get the same resupt as that for 1st..

Answer 8

for the first case, you need to take into account the fact that total mass at one week is m2 + whatever is left of m1

Answer 9

Yes that will be taken .....sorry i didn't consider it...
So the total mass would now dissociate with rate constant k

Answer 10

well..yea it checks out
\[(m_1 e^{-k} +m_2)e^{-k}\\\]

Answer 11

which gives
\[m_1e^{-2k}+m_2e^{-k}\]

Answer 12

thanks :)

Answer 13

U r correct!!

Answer 14

Nice!