A radioactive sample S 1 having the activity A 1 has twice the number of nuclei as another sample S 2 of activity A 2 . If A 2 = 2 A 1 , then the ratio of half-life of S 1 to the half-life of S 2 is

Step-by-step solution

Activity, A = λ N = 0.693 T 1 / 2 N Where T 1/2 is the half-life of a radioactive sample, ∴ A 1 A 2 = N 1 T 1 × T 2 N 2 T 1 T 2 = A 2 A 1 × N 1 N 2 = 2 A 1 A 1 × 2 N 2 N 2 = 4 1