For a radioactive material, the half-life is 10   minutes . If initially there are 600 number of nuclei, the time taken (in minutes ) for the disintegration of 450 nuclei is

Step-by-step solution

Given, N 0 = 600 ; N ′ = 450 N = N 0 - N ′ N = 150 Number of remaining nuclei, N N 0 = 1 2 t t 1 / 2 (Here, when, t = t 1 2 ⇒ N = N 0 2 ) ⇒ 150 600 = 1 2 t 10 ⇒       1 4 = 1 2 t 10   ⇒ 1 2 2 = 1 2 t 10 2 = t 10 ⇒ t = 20   minutes