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 = (100−25)%=75%

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