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Using a nuclear counter the count rate o...

Using a nuclear counter the count rate of emitted particles from a radioactive source is measured. At t=0 it was 1600 counts per second and t = 8 seconds it was 100 counts per second. The count rate observed, as counts per seconds, at t=6, seconds is close to :

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According to question at `t=0, A_(0)=(dN)/(dt)=1600` C/s
and at t=8s, A=100C/s
`:.A/(A_(0))=(1/16)`
Therefore half life period `t_(1//2)=2s`
`:.` Activity at t=6s `=1600(1/2)^(3)=200C//s`
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