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A thin rod of length ‘L’ is lying along the x-axis with its ends at x = 0 and x = L. Its linear density x a(mass/length) varies with X as $K[\frac{X}{L}]$,where n can be zero or any positive number. If the position $X_{CM}$ of the centre of mass of the rod is plotted against ‘n’, which of the following graphs best approximates the dependence of $X_{CM}$ on n?

( A ) image
( B ) image
( C ) image
( D ) image

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