JEE Main · PhysicsHard
A radioactive sample decays with a decay constant $\lambda$. The time required for the activity to decrease from $A_0$ to $A_0/e$ is $t_1$, and the time required for the number of nuclei to decrease from $N_0$ to $N_0/e$ is $t_2$. What is the ratio $t_1/t_2$?
- A.1:2
- B.1:1
- C.2:1
- D.e:1
Show correct answer & step-by-step solution
Correct answer: B — 1:1
Solution
Both activity and the number of nuclei follow the same exponential decay law . Therefore, the time constant for both processes is identical, resulting in a ratio of 1.
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