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NEET UG PHYSICS MCQ: NUCLEI

1 Hard
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Application +4 | -1
A radioactive substance with decay constant of 0.5/s0.5 / {s} is being produced at a constant rate of 50 nuclei per second. If there are no nuclei present initially, the time (in second) after which 25 nuclei will be present is:
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Correct option: B
2 ln⁡ (4/3)2 \,\ln\, (4 / 3)
Option B (2 ln⁡ (4/3)2 \,\ln\, (4 / 3)) is correct because it solves the differential equation for the number of nuclei present, considering both production and decay.

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