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Question: A radioactive substance has an average life of 5 hours. In a time of 5 hours....

A radioactive substance has an average life of 5 hours. In a time of 5 hours.

A

Half of the active nuclei decay

B

Less than half of the active nuclei decay

C

More than half of the active nuclei decay

D

All active nuclei decay

Answer

More than half of the active nuclei decay

Explanation

Solution

If λ\lambdais the decay constant of a radioactive substance than average life = 1λ\frac{1}{\lambda}

Also half life =0.693λ=0.693×(Average6mulife)= \frac{0.693}{\lambda} = 0.693 \times (Average\mspace{6mu} life)

in single average life, more than 63% of radioactive nuclei decay.