NEET2017Physics-Nuclear Physics

NEET 2017 Physics Radioactive Decay MCQ Question

Type: MCQ-numerical-Medium-Class 12

Radioactive material ‘A’ has decay constant ‘8λ’ and material ‘B’ has decay constant ‘λ’. Initially they have same number of nuclei. After what time, the ratio of number of nuclei of material ‘B’ to that ‘A’ will be 1/e?

A

1/λ

B

1/7λ

C

1/8λ

D

1/9λ

Correct Answer

Option B

Detailed Explanation

Using the decay law, N = N₀e^(-λt), the time when the ratio becomes 1/e can be calculated by setting the equations for both materials and solving for t.

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