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PhysicsMediumNumerical2023 · 25 Jan Shift 2

Q5. A nucleus disintegrates into two smaller parts, which have their velocities in the ratio 3 : 2 . The ratio of their 1 nuclear sizes will be ( x3 ) 3 . The value of ‘ x’ is:

What This Question Tests

This question combines conservation of momentum with the relationship between nuclear size, mass, and mass number, requiring algebraic manipulation to find the unknown value.

Concepts Tested

Conservation of momentumNuclear densityRelationship between radius and mass

Formulas Used

m₁v₁ = m₂v₂

R = R₀A^(1/3)

m = ρV

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