A substance has half of 3 min. After 6 min, the count rate was observed to be 400. What was its count rate at zero time?
1600
1200
200
2400
Explanation
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Half life=3 minutes
2'3=2*2*2=8
After 6minutes,
Then 6minutes divided by 3 minutes=2
After that 8/2=4
4*400=1600

t(1/2) =3
T=6
N=400
No=?š
n=T/(t1/2)
n=6/3
n=2
N=No/2^n
400=No/2²
No=2²Ć400
No=4Ć400
No=1600š
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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.

