In a radioactive disintegration, the ratio of initial number of atoms to the number of atoms present at an instant of time equal to its mean life is

Step-by-step solution

Let the initial number of atoms at time t=0 be N ₀ . Let N be the number of atoms at any instant t . Mean life = 1 , where is disintegration constant. Given, t = According to radioactive disintegration law, or gathered N = N ₀ e ^ - t N = N ₀ e ^ - 1 = N ₀ e gathered Or N ₀ ~N = e