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After an interval of one day , 1//16th ...

After an interval of one day , `1//16th` initial amount of a radioactive material remains in a sample. Then, its half-life is .

A

6 hours

B

12 hours

C

1.5 hours

D

3 hours

Text Solution

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The correct Answer is:
A
`N/N_(0)=(1/2)^(n)`
`:. 1/16 =(1/2)^(n)`
`(1/2)^(4)=(1/2)^(n)`
`:. n=4`
`t/T=4`
`T=t/4=24/4 =6` hours.
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