Question bank/JEE Main/Physics

The centre of mass of a non uniform rod of length L whose mass
per unit length $\lambda$varies as
$\lambda = \frac{k \cdot x^{2}}{L}$where k is a constant &x is the
distance of any point on rod from its one end, is (from the same end)

A$\frac{3}{4}L$B$\frac{1}{4}L$C$\frac{k}{L}$D$\frac{3k}{L}$

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Source: Grass-G / P-16 Physics paper 25 Nov First.docx