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Question

For a radioactive sample of half life 1 hour, probability of decay of an active nucleus in 2 hours in percentage is . (Write upto two digits after the decimal point.)


Solution

The probability of a radioactive atom decaying within its half life is 50%.

Probability of not decaying in 1 hour = 0.5
Probability of not decaying in another 1 hour = 0.5
Therefore, the total probability of not decaying in 2 hrs =0.5×0.5
=0.25=25%

So, probability of decaying in two hours = (10025)%=75%

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