Home Maths JEE - Advanced Previous Year Paper JEE-Advanced-2019-Paper-1 In a radioactive sample nuclei either decay…
Maths JEE - Advanced Previous Year Paper JEE-Advanced-2019-Paper-1 Single Correct MCQ
Published on: August 13, 2026

In a radioactive sample nuclei either decay into stable nuclei with decay constant 4.5 x 10 -10 per year or into stable nuclei with decay constant 0.5x10 -10 per year. Given that in this sample all the stable and nuclei are produced by the nuclei only. In time t x 10 9 years, if the ratio of the sum of stable and nuclei to the radioactive ^K nuclei is 99, the value oft will be

[Given : Inl0 = 2.3]

A
1.15
B
4.6
C
9.2
D
2.3

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Verified by Experts
The correct answer is:
C

So equivalent decay constant per year

and given that

So t = 9.2x10 9 year

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