If `lambda` is the decay constant of a nucleus, find the propability that a nucleus wil decay in time `t` and will not decay in time `t`.

In the gamma decay of a nucleus

A radioactive species has decay constant of lambda=10^(-2)s^(-1) . Probability that a particular nucleus decays in time t is p. Draw a graph showing variation of rho with t. Assume that the selected nucleus survives till last.

20% radioactive sample decay in time t. How much sample decay in time 2t ?

The decay constant lambda of the radioactive sample is probaility of decay of an atom in unit time, then

The average life T and the decay constant lamda of a radioactive nucleus are related as

Consider a nuclear reaction : Aoverset(lambda_(1))rarrB+C and Boverset(lambda_(2))rarrC A converts into B and to C with decay with decay constant lambda_(1) B is alos stable nucleus which futher decays into stable nucleus C with decay constant lambda_(2). Mark the correct statement(s)