JEE Advanced 2015 Physics question

PhysicsNucleiJEE Advanced 2015

For a radioactive material, its activity and rate of change of its activity are defined as and , where is the number of nuclei at time . Two radioactive sources (mean life ) and (mean life ) have the same activity at . Their rates of change of activities at are and , respectively. If , then the value of is

Answer: 2

Solution

, so . Both start with the same . For P, :

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Question ID VK-026428