87.5% decomposition of a radioactive sub...

87.5% decomposition of a radioactive substance completes in 3 hours. What is the half-life of that substance

A

2 hours

B

3 hours

C

90 minutes

D

1 hour

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The correct Answer is:

D

`(0.693)/(t_(1//2)) = (2.303)/(180) xx log (100)/(12.5)`
`t_(1//2) = (0.693 xx 180)/(2.303xx 3xx0.3010) = 60 `min =1 hr.

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