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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 :

A

150

B

400

C

360

D

200

Text Solution

Verified by Experts

The correct Answer is:
D

`(1600)/((2)^(n)) =100`
`2^(n) = 16 rArr n = 4 `
`4 t_(1//2) = 8 s rArr t_(1//2) = 2s`
t = 6 sec { 3 half -life }
`rArr 1600/(2^(3)) = 200` .
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