JEE Main 2017 Physics question

PhysicsNucleiJEE Main 2017

A radioactive nucleus A with a half life T, decays into a nucleus B. At t = 0, there is no nucleus B. At sometime t, the ratio of the number of B to that of A is 0.3. Then, t is given by -

Answer: (B)

Solution

, so and .

Question ID VK-008963