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A freshly prepared radioactive sample of...

A freshly prepared radioactive sample of half-life 4 hours emits radiation of intensity which is 64 times the safe level. The minimum hours after which it would be safe to work with it is

A

4

B

6

C

12

D

24

Text Solution

Verified by Experts

The correct Answer is:
D

According to question
`(I)/(64I_(o))=((1)/(2))^(t//T)`
`((1)/(2))^(6)=((1)/(2))^(t//T)`
`(t)/(T)=6implies(t)/(4)=6`
`implies t=24h`
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