Question

Two radioactive samples A and B have
half lives T and 2T respectively. At t = 0,
the activity of A was twice the activity of
B. Their activity will become equal after
time​

Answer 1

Answer:

The activity of A and B would be same, after 2 half cycles of A and one half cycle of B

Explanation:

Let n be the number of atoms of radioactive source A.

Then as per given information,

Number of atoms of radioactive source B = n/2

The half life of A is twice than that of B, means A will decay twice faster than B.

After First half cycle, A would have n/2 atoms and after second half cycle A would be having n/4 atoms left

In case of B, after first half cycle of B, number of atoms left will be n/4

Hence the activity of A and B would be same, after 2 half cycles of A and one half cycle of B