State the law of radioactive decay. If `N_0` is the number of radioactive nuclei in the sample at some initial time `t_0`, find out the relation to determine the number N present at a subsequent time.

Show that the decay rate R of a sample of radionuclide is related to the number of radioactive nuclei N at the same instant by the expression R=lambdaN .

The rate at which a particular decay process occurs in a radio sample, is proportional to the number of radio active nuclei present . If N is the number of radio active nuclei present at some instant, the rate of change of N is "dN"/"dt"=-lambdaN . Consider radioactive decay of A to B which may further decay either to X or to Y, lambda_1, lambda_2 and lambda_3 are decay constants for A to B decay , B to X decay and B of Y decay respectively. if at t=0 number of nuclei of A,B , X and Y are N_0, N_0 ,zero and zero respectively and N_1 , N_2, N_3,N_4 are number of nuclei A,B , X and Y at any instant. The number of nuclei of B will first increase then after a maximum value, it will decreases, if

The rate at which a particular decay process occurs in a radio sample, is proportional to the number of radio active nuclei present . If N is the number of radio active nuclei present at some instant, the rate of change of N is "dN"/"dt"=-lambdaN . Consider radioactive decay of A to B which may further decay either to X or to Y, lambda_1, lambda_2 and lambda_3 are decay constants for A to B decay , B to X decay and B of Y decay respectively. if at t=0 number of nuclei of A,B , X and Y are N_0, N_0 ,zero and zero respectively and N_1 , N_2, N_3,N_4 are number of nuclei A,B , X and Y at any instant. At t=oo , which of the following is incorrect ?

The rate at which a particular decay process occurs in a radio sample, is proportional to the number of radio active nuclei present . If N is the number of radio active nuclei present at some instant, the rate of change of N is "dN"/"dt"=-lambdaN . Consider radioactive decay of A to B which may further decay either to X or to Y, lambda_1, lambda_2 and lambda_3 are decay constants for A to B decay , B to X decay and B of Y decay respectively. if at t=0 number of nuclei of A,B , X and Y are N_0, N_0 ,zero and zero respectively and N_1 , N_2, N_3,N_4 are number of nuclei A,B , X and Y at any instant. Rate of accumulation of B of any instant will be

A radioactive substance has half-life T_(1/2) and number of radioactive nuclides present initially was N_(0) . What is the number of radioactive nuclides at time t ?

For a radioactive sample, at given instant, number of active nuclei is N and its decay constant is lambda then the incorrect relation is–

For any radioactive sample number of nuclei undergoing the decay per unit time is proportional to