Radioactive element A are being produced at a constant rate `alpha`. The element has a decay constant `lambda`. At time t=0, there are `N_0` nuclei of the element.
Calculate the number of nuclei A at time t.

Radioactive element A are being produced at a constant rate alpha . The element has a decay constant lambda . At time t=0, there are N_0 nuclei of the element. If alpha=2N_0lambda , calculate the number of nuclei of A after one half life of A and also limiting value of N as t rarr infty .

A radioactive nuclide is produced at a constant rate of alpha per second . It’s decay constant is lambda . If N_(0) be the no. of nuclei at time t=0 , then max. no. nuclei possible are : a) N_(0) b) alpha//lambda c) N_(0)+(alpha)/(lambda) d) (lambda)/(sigma)+N_(0)s

A car accelerates from rest for time t_1 at a constant rate alpha and then it retards at the constant rate beta for time t_2 and comes to rest.Find the value of t_1 // t_2 .

A radioactive nucleus X decays to a nucleus Y with a decay constant lambda_X=0.1s^-1, Y further decays to a stable nucleus Z with a decay constant lambda_Y=1//30s^-1 . Initially, there are only X nuclei and their number is N _0=10^20 . Set up the rate equations for the populations of X, Y and Z. The population of Y nucleus as a function of time is given by N_Y(t)={N _0lambda_X//(lambda_X-lambda_Y)}[exp(-lambda_Yt)-exp(-lambda_Xt)]. Find the time at which N_Y is maximum and determine the population X and Z at that instant.

Uranium - 234 is radioactive and emits alpha -particles at what appears to be a constant rate.A sample of uranium - 234 of mass 2.64 mu G is found to hae an activity of 604 Bq. Calculate for the sample of Uranium -234 the decay constant

Uranium - 234 is radioactive and emits alpha -particles at what appears to be a constant rate.A sample of uranium - 234 of mass 2.64 mu G is found to hae an activity of 604 Bq. Calculate for the sample of Uranium -234 the number of nclei,

The half - life period of radioactive element A is the same as the mean life time of another radioactive element B. Initially both of them have same number of atoms. The radioactive element B decays faster than A. Explain, why.

Starting from 10g of a radioactive element, 0.25 g was left after 5 years. Calculate Rate constant for the decay of the radioactive element.