The probability that a particular nucleus of `.^(38)Cl` will undergo beta decay in any time interval of 4 s is
`[T_(1//2)" for ".^(38)Cl " is " 37.2 "min"]`

The probability that particular nucleus of ""_(38)Cl will undergo beta -decay in time interval 10^(-3) sec (the half life of ""_(38)Cl is 37.2 min) is

In problem 43 , number of atoms decayed between time interval t_(1) and t_(2) are

A radioactive species has decay constant of lambda=10^(-2)s^(-1) . Probability that a particular nucleus decays in time t is p. Draw a graph showing variation of rho with t. Assume that the selected nucleus survives till last.

(a) Assume that a particular nucleus, in a radioactive sample, has a probability rho of decaying in the interval t to t+Deltat . Taking that the nucleus actually does not decay in the above interval, what is probability that it will decay in the interval t +Deltat to t+2Deltat ? (b) Find the mean life of .^(55)C_(0) is its activity is known to decreases 4% per hour. ln((25)/(24))=0.04 .

A radioactive nucleus can decay be either emitting an alpha particle or by emitting a beta particle. Probability of alpha decay is 75% while that of beta decay is 25% the decayconstatnt of alpha decay is lamda_(1) and that of beta decay is lamda_(2) is (lamda_(1))/(lamda_(2))

A radioactive nucleus can decay be either emitting an alpha particle or by emitting a beta particle. Probability of alpha decay is 75% while that of beta decay is 25% the decayconstatnt of alpha decay is lamda_(1) and that of beta decay is lamda_(2) is (lamda_(1))/(lamda_(2))

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 . 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 :

If S=2t^(3)-4t^(2)+12t , then distance travelled during the time -interval [0,1] is