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The density of a non-uniform rod of length 1m is given by ρ(x) = a(1+bx2) where a and b are constants and o ≤ x ≤1. The centre of mass of the rod will be at

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When b0, the density becomes uniform and hence the centre of mass is at x = 0.5. Only option (a) tends to 0.5 as b0.

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