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Two samples A and B of same radioactive ...

Two samples A and B of same radioactive nuclide are prepared. Sample A has twice the initial activity of sample B. For this situation, mark out the correct statement (s).

A

The half-lives of both the samples would be same.

B

The half-lives of the samples are different

C

After each has passed through 5 half-lives, the ratio of activity of A to B is 2 : 1.

D

After each has passed through 5 half-lives, ratio of activities of A to B is 64 : 1.

Text Solution

Verified by Experts

The correct Answer is:
A, C
Half-lives of both the samples would be same as half-life is the property of radioactive material and is independent of number of nuclei present or its activity. Let `R_(0B) = R_(0)`, then `R_(0A) = 2R_(0)`, where `R_(0)` denotes initial activity. Activity of A after 5 half-lives is
`R_(A) = (R_(0A))/(2^(5)) = (R_(0))/(2^(4))`
Activity of B after 5 half-lives is
`R_(B) = (R_(0B))/(2^(5)) = (R_(0))/(2^(5))`
`therefore" "(R_(A))/(R_(B)) = (2)/(1)`
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