The intensity of radiation emitted by radioactive source also decreases with time. Half-life of the given material is 2 hours. Let the radiation starts at t=0. Initial intensity of radiation is 64 times the safe intensity level.
At t=2 hour, the intensity of radiation will be half (due to half-life) which is now 32 times the safe intensity level.
At t=4 hour, the intensity of radiation will be 16 times the safe level.
Doing this, t=6 h 8 times; t=8 h 4 times; t=10 h 2 times and t=12 h 1 times the safe intensity level. In other words, and thus the time will be 6*2 hour= 12 hour. Therefore, the minimum time is 12 hours after which the intensity of radiation is equal to the permissible safe level and we can work safely with the material.
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