JEE Main 2022 · 29 Jul · Shift 2 · Physics Q59

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PhysicsInteger+4 / -1Question 59 of 90

Two radioactive materials A and B have decay constants 25λ and 16λ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of B to that of A will be "e" after a time $\dfrac1{a\lambda}$ . The value of a is _______.

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Answer and worked solution

Official answer: 9

Ratio $\dfrac{N_B}{N_A}=e^{(25-16)\lambda t}=e$ when $t=\dfrac1{9\lambda}$ .

Answer: 9

Topics:Radioactive decay

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JEE Main 2022 · 29 Jul · Shift 2, Physics question 59