Nuclei|radioactivity

Nuclei of radioactive element A are produced at rate 't^(2') (where t is time) at any time t . The element A has decay constant lambda . Let N be the number of nuclei of element A at any time t . At time t=t_(0), dN//dt is minimum. The number of nuclei of element A at time t=t_(0) is

Nuclei of 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. (a) Calculate the number N of nuclei of A at time t. (b) IF alpha =2 N_(0) lambda , calculate the number of nuclei of A after one half-life time of A and also the limiting value of N at t rarr oo .

Statement: The first man-made atom produced by artifical transmulation was Tc . Explanation: The phenolmenon of converting a stable nuclei into radioactive one is called artifical radioactivity.

A radioactive sample X has thrice the number of nuclei and activity one-third as compared to other radioactive sample Y. The ratio of half-lives of X and Y is

At t=0 , number of radioactive nuclei of a radioactive substance are x and its radioactivity is y. Half-life of radioactive substance is T. Then,

Nuclei of a 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 . The number N of nuclei of A at time t is

Nuclei of a 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 = 4N_(0)lambda , the number of nuclei of A when A has reached steady state: