Radioactive decay is a statisticle process i.e., we cannot precisely predict the timing of a particular radioactivity of a particular nucleus . The nucleus can disintegrate immediately or it may take infinite time . Simply the probability of the number of nuclei being disintegrated at any instant can be predicted . the rate at which a particular decay process in a radioactive sample is directly proportional to the number of radioactive nuclei present and thus obeys first order kinetics . the factor dN/N expresses the fraction of nuclei decayed in time dt.t_(1//2) is the time in which half of the atoms are decayed and average life is the time for the nucleus to survive before decay . A freshly prepared radioactive source of half period 2 hour emits radiations on intensity which is 64 times of the permissible safe level. The minimum time after which it would be possible to work with this source is :

Radioactive decay is a statisticle process i.e., we cannot precisely p

1.	Radioactive decay is a statisticle process i.e., we cannot precisely predict the timing of a particular radioactivity of a particular nucleus . The nucleus can disintegrate immediately or it may take infinite time . Simply the probability of the number of nuclei being disintegrated at any instant can be predicted . the rate at which a particular decay process in a radioactive sample is directly proportional to the number of radioactive nuclei present and thus obeys first order kinetics . the factor dN/N expresses the fraction of nuclei decayed in time dt.t_(1//2) is the time in which half of the atoms are decayed and average life is the time for the nucleus to survive before decay . A freshly prepared radioactive source of half period 2 hour emits radiations on intensity which is 64 times of the permissible safe level. The minimum time after which it would be possible to work with this source is :
Answer» 16 hrs 12 hrs 20 hrs 24 hrs Solution :`64 overset(1)(to) 32 overset(2) (to) 16 overset(3) (to) 8 overset(4) (to) 4 overset(5) (to) 2 overset(6) (to) 1 , t = t_(1//2) xx 6 = 2 xx 6 = 12`