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A thin rod of length L is lying along th...

A thin rod of length L is lying along the x-axis with its ends at x = 0 and x = L. Its linear density (mass/length) varies with x as `k((x)/(L))^n` 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

B

C

D

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A
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