After 24 hours, the activity of a radioactive sample is 2000 dps (disintegration per second). After another 12 hours, the activity reduced to 1000 dps. The initial activity of the sample in dps is
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The initial activity of the radioactive sample is 8000 dps.
The activity of the given radioactive sample changes from 2000 to 1000 dps in 12 hours . Therefore , the half life of the radioactive sample is 12 hours .
24 hours is equal to 2 half life cycles . The initial acitivity of the sample will be halved twice from the actual value after 24 hours .
Initial activity = 2000 × (2)²
= 8000 dps .
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