GENERAL KNOWLEDGE

Detailed explanation-1: -A higher decay constant indicates that the particle is more likely to decay in a given amount of time. Mathematically, it is equal to the natural log of two times the half-life. Activity is the amount of radioactive decay in a unit of time.

Detailed explanation-2: -The rate of radioactive decay, or simply the rate of decay, gives us the rate of change of the decaying nuclei with respect time. If we take the absolute value of the rate of decay, that will give us the activity of the unstable atom.

Detailed explanation-3: -The decay constant depends only on the particular radioactive nuclide and decay mechanism involved. It does not depend on the number of nuclei present or on any external conditions (such as temperature).

Detailed explanation-4: -The rate of decay remains constant throughout the decay process. There are three ways to show the exponential nature of half-life. Equation 11 is a constant, meaning the half-life of radioactive decay is constant.