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Question

The half life of a radioactive substance is 20 minutes. The time taken between 50% decay and 87.5% decay of the substance will be

A
30 minutes
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B
40 minutes
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C
25 minutes
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D
10 minutes
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Solution

The correct option is B 40 minutes
GIven : T1/2=20 minutes
Time taken in 50 % decay t1=T1/2=20 minutes
Time taken in 87.5 % decay t2=3T1/2=60 minutes
Thus time interval between 50 % and 87.5 % decay Δt=t2t1
Δt=6020=40 minutes

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