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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 seconds it was 25600 counts per second and t = 8 seconds it was 100 counts per second. The count rate observed, as counts per second, at t = 6 seconds is close to:

A

150

B

400

C

360

D

200

Text Solution

Verified by Experts

The correct Answer is:
B
`A = A_0 e^(-lamda t)`
` 100 = 25600 e^(-lamda_8) rArr (1)/(256) = e^(-lamda_8) rArr e^(-lamda) = (1/256)^(3/4) = 25600 ((1)/(4^4))^(3/4) = (25600)/(4^3) = 25600/64 = 400`
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