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A substance has half of 3 min After 6 min the c... - JAMB Physics 2020 Question

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? 

A

1600

B

1200

C

200

D

2400

correct option: a

Let N = count rate at zero time

N \(\frac{3 min}{\to}\)  \(\frac{N}{2}\) \(\frac{3 min}{\to}\) \(\frac{N}{4}\)

\(\frac{N}{4}\) 

= 400

N = \(\frac{400}{N/4}\) x N 

N = 1600

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