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Suppose we consider a large number of co...

Suppose we consider a large number of continers each containing initially `10000` atoms of a radioactive material with a half life of `1` year. After `1` year.

A

all the containers will have 5,000 atoms of the material.

B

all the containers will contain the same number of atoms of the material but that number will only be approximately 5,000

C

the containers will in general have different numbers of the atoms of the material but their average will be close to 5,000.

D

none of the containers can have more than 5000 atoms.

Text Solution

Verified by Experts

The correct Answer is:
C

Half-life time for a radio-active substance is defined as the time in which a radio-active atomic substance remains half of its original value of radio-active atom.
Given that
Half-life = 1 year.
So, after 1 year means one half-life, that is average atoms of radioactive substance remain after 1 year in each container is equal to half of 10,000 = 5,000 atoms (average).
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