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Radioactive decay is a statisticle proce...

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 .
75 atoms of a radioactive species are decayed in 2 half lives `(t_(1//2) =`1 hr ) if 100 atoms are taken initially . Number of atoms decayed if 200 atoms are taken in 2 hr are :

A

75

B

150

C

50

D

200

Text Solution

Verified by Experts

The correct Answer is:
B
`100 overset(1 hr)(to) 50 overset(1hr)(to) 25 = 75` decreases
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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 . Which of the following relation is correct ? (t_(1//2) and t_(3//4) are time required to complete half and 3/4 decay respectively )

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 :

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