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NEET UG PHYSICS MCQ: NUCLEI

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An unstable heavy nucleus at rest breaks into two nuclei which move away with velocities in the ratio of 8 : 27. The ratio of the radii of the nuclei (assumed to be spherical) is :
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Correct option: C
3:23\mathrm{ }:\mathrm{ }2
Option C (3 : 2) is correct because the ratio of radii is inversely proportional to the cube root of the velocity ratio, derived from momentum conservation and the relationship between mass and radius.

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