A substance has a half of 3mins. after 6mins. the count rate was observed to be 400. What was its count rate at zero time?
a
200
b
1200
c
1600
d
2400
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PrinceJohn489
1 year ago
We know that the substance has a half-life (t1/2) of 3 minutes. This means that every 3 minutes, the count rate (or activity) decreases by half.
We're given that after 6 minutes, the count rate is 400. We need to find the initial count rate at time 0.
Since 6 minutes is equal to two half-lives (3 minutes x 2), we can use the following formula:
Initial count rate = Final count rate x 2^(Number of half-lives)
Plugging in the values, we get:
Initial count rate = 400 x 2^(2)
= 400 x 4
= 1600
Therefore, the count rate at time 0 was 1600.

