A radioactive uclide has a decay costant equal to `lambda`.Give the formula for the
mean life of this nuclide.

A nucleus of mass number A, has a mass defect Deltam . Give the formula, for the binding energy per nucleon of this nucleus.

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.

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

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 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.

A certain radioactive element disintegrates for an interval of time equal to its mean life. What fraction of the element has disintegrated?

Sample of two radioactive nuclides A and B are taken. lambdaa_A and lambda_B are the disintegration constants of A and B respectively. In which of the following cases, the two samples can simultaneously have the same decay rate at any time:

Two radioactive nuclei X and Y initially contain an equal number of atoms.Their half life is 1 hour and 2 hours respectively.Calculate ratio of their rates of disintegration after two hours.

There are two radioactive substances A and B. Decay constant of B is two times that of A. Initially both have equal numbr of nuclei. After n half lives of A, rate of disintegration of both are equal. Find the value of n.