A radioactive substance `X` decys into another radioactive substance `Y`. Initially, only `X` was present . `lambda_(x)` and `lambda_(y)` are the disintegration constant of `X` and Y. `N_(y)` will be maximum when.

A radioactive substance "A" having N_(0) active nuclei at t=0 , decays to another radioactive substance "B" with decay constant lambda_(1) . B further decays to a stable substance "C" with decay constant lambda_(2) . (a) Find the number of nuclei of A, B and C time t . (b) What should be the answer of part (a) if lambda_(1) gt gt lambda_(2) and lambda_(1) lt lt lambda_(2)

A radioactive substance "A" having N_(0) active nuclei at t=0 , decays to another radioactive substance "B" with decay constant lambda_(1) . B further decays to a stable substance "C" with decay constant lambda_(2) . (a) Find the number of nuclei of A, B and C time t . (b) What should be the answer of part (a) if lambda_(1) gt gt lambda_(2) and lambda_(1) lt lt lambda_(2)

A radioactive element X converts into another stable element Y . Half life of X is 2 hours. Initially only X is present . After a time t if the ratio of atoms of X to Y is 1:4 then the value of t is

If N_0 = Number of radioactive nuclei present at t -= 0, N = Number of radioactive nuclei present at time t = t and lambda is the decay constant, then the radioactive decy equation is

The decay constant of a radioactive substance for a and beta emission are lambda_(a) and lambda_(beta) respectively. It the substance emits a and beta simultaneously, the average half life of the material will be_______