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A radioactive sample is emitting 64 time...

A radioactive sample is emitting 64 times radiations than non hazardous limit. if its half life is 2 hours, after what time it becomes non-hazardous:

A

16 hr

B

12 hr

C

8 hr

D

4 hr

Text Solution

Verified by Experts

The correct Answer is:
B
`N = N_0 (1/2)^n implies N/N_0 = (1/2)^n`
or `1/(64) = (1/2)^n implies (1/2)^6 = (1/2)^n implies n = 6`
`T = t_(1//2) xx n = 2 xx 6 = 12 `hours
After 12 hours, sample becomes non-hazardous.
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