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 isNEET 2018

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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

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