JEE Main Physics question

A thin rod of length lies along the -axis with its ends at and . Its linear density (mass/length) varies as , where can be zero or any positive number. If the position of the centre of mass of the rod is plotted against , which graph best approximates the dependence of on ?

• (A) rises from (at ) and asymptotically approaches as Correct
• (B) is constant at for all
• (C) falls from toward as increases
• (D) stays near and rises sharply only for large